LCM for 41 and 42

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What's the Least Common Multiple (LCM) of 41 and 42?

Answer

LCM of 41 and 42 is
1,722

(One thousand seven hundred twenty-two)

Finding LCM for 41 and 42 using GCF of these numbers

The first method to find LCM for numbers 41 and 42 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 41 and 42 is 1, so

LCM = (41 × 42) ÷ 1

LCM = 1,722 ÷ 1

LCM = 1,722

Finding LCM for 41 and 42 by Listing Multiples

The second method to find LCM for numbers 41 and 42 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 41: 41, 82, 123, 164, 205, 246, 287, 328, 369, 410, 451, 492, 533, 574, 615, 656, 697, 738, 779, 820, 861, 902, 943, 984, 1,025, 1,066, 1,107, 1,148, 1,189, 1,230, 1,271, 1,312, 1,353, 1,394, 1,435, 1,476, 1,517, 1,558, 1,599, 1,640, 1,681, 1,722, 1,763, 1,804

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, 1,008, 1,050, 1,092, 1,134, 1,176, 1,218, 1,260, 1,302, 1,344, 1,386, 1,428, 1,470, 1,512, 1,554, 1,596, 1,638, 1,680, 1,722, 1,764, 1,806

So the LCM for 41 and 42 is 1,722

Finding LCM for 41 and 42 by Prime Factorization

Another method to find LCM for numbers 41 and 42 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 41: 41 (exponent form: 411)

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

411 × 21 × 31 × 71 = 1,722

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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 41 and 42? (The answer is: 1,722). Select the first number (e.g. '41') and the second number (e.g. '42'). 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
41271,107
41281,148
41291,189
41301,230
41311,271
41321,312
41331,353
41341,394
41351,435
41361,476
41371,517
41381,558
41391,599
41401,640
414141
41421,722
41431,763
41441,804
41451,845
41461,886
41471,927
41481,968
41492,009
41502,050
41512,091
41522,132
41532,173
41542,214
41552,255
41562,296

FAQ

What's the Least Common Multiple (LCM) of 41 and 42?

LCM of 41 and 42 is 1,722

How to find the LCM of 41 and 42 using prime factorization?

To find the LCM of 41 and 42, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,722.

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 41 and 42: LCM = 1,722, GCF = 1.

See Also