LCM for 42 and 53

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Least Common Multiple of
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What's the Least Common Multiple (LCM) of 42 and 53?

Answer

LCM of 42 and 53 is
2,226

(Two thousand two hundred twenty-six)

Finding LCM for 42 and 53 using GCF of these numbers

The first method to find LCM for numbers 42 and 53 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 42 and 53 is 1, so

LCM = (42 × 53) ÷ 1

LCM = 2226 ÷ 1

LCM = 2226

Finding LCM for 42 and 53 by Listing Multiples

The second method to find LCM for numbers 42 and 53 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714, 756, 798, 840, 882, 924, 966, 1008, 1050, 1092, 1134, 1176, 1218, 1260, 1302, 1344, 1386, 1428, 1470, 1512, 1554, 1596, 1638, 1680, 1722, 1764, 1806, 1848, 1890, 1932, 1974, 2016, 2058, 2100, 2142, 2184, 2226, 2268, 2310

Multiples of 53: 53, 106, 159, 212, 265, 318, 371, 424, 477, 530, 583, 636, 689, 742, 795, 848, 901, 954, 1007, 1060, 1113, 1166, 1219, 1272, 1325, 1378, 1431, 1484, 1537, 1590, 1643, 1696, 1749, 1802, 1855, 1908, 1961, 2014, 2067, 2120, 2173, 2226, 2279, 2332

So the LCM for 42 and 53 is 2226

Finding LCM for 42 and 53 by Prime Factorization

Another method to find LCM for numbers 42 and 53 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 42: 2, 3, 7 (exponent form: 21, 31, 71)

All Prime Factors of 53: 53 (exponent form: 531)

21 × 31 × 71 × 531 = 2226

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 42 and 53? (The answer is: 2226). Select the first number (e.g. '42') and the second number (e.g. '53'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
Least Common Multiple of
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LCM Table

Number 1Number 2LCM
4238798
4239546
4240840
42411722
424242
42431806
4244924
4245630
4246966
42471974
4248336
4249294
42501050
4251714
42521092
42532226
4254378
42552310
4256168
4257798
42581218
42592478
4260420
42612562
42621302
4263126
42641344
42652730
4266462
42672814

FAQ

What's the Least Common Multiple (LCM) of 42 and 53?

LCM of 42 and 53 is 2,226

How to find the LCM of 42 and 53 using prime factorization?

To find the LCM of 42 and 53, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,226.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 42 and 53: LCM = 2,226, GCF = 1.

See Also