LCM for 84 and 100

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 84 and 100?

Answer

LCM of 84 and 100 is
2,100

(Two thousand one hundred)

Finding LCM for 84 and 100 using GCF of these numbers

The first method to find LCM for numbers 84 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 84 and 100 is 4, so

LCM = (84 × 100) ÷ 4

LCM = 8,400 ÷ 4

LCM = 2,100

Finding LCM for 84 and 100 by Listing Multiples

The second method to find LCM for numbers 84 and 100 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 84: 84, 168, 252, 336, 420, 504, 588, 672, 756, 840, 924, 1008, 1092, 1176, 1260, 1344, 1428, 1512, 1596, 1680, 1764, 1848, 1932, 2016, 2100, 2184, 2268

Multiples of 100: 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, 1100, 1200, 1300, 1400, 1500, 1600, 1700, 1800, 1900, 2000, 2100, 2200, 2300

So the LCM for 84 and 100 is 2,100

Finding LCM for 84 and 100 by Prime Factorization

Another method to find LCM for numbers 84 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

22 × 31 × 71 × 52 = 2,100

Related Calculations

See Also

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 84 and 100? (The answer is: 2,100). Select the first number (e.g. '84') and the second number (e.g. '100'). 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
and

LCM Table

Number 1Number 2LCM
84857,140
84863,612
84872,436
84881,848
84897,476
84901,260
84911,092
84921,932
84932,604
84943,948
84957,980
8496672
84978,148
8498588
84992,772
841002,100
841018,484
841021,428
841038,652
841042,184
84105420
841064,452
841078,988
84108756
841099,156
841104,620
841113,108
84112336
841139,492
841141,596

FAQ

What's the Least Common Multiple (LCM) of 84 and 100?

LCM of 84 and 100 is 2,100

How to find the LCM of 84 and 100 using prime factorization?

To find the LCM of 84 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,100.

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 84 and 100: LCM = 2,100, GCF = 4.

See Also