LCM for 84 and 60

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 84 and 60?

Answer

LCM of 84 and 60 is
420

(Four hundred twenty)

Finding LCM for 84 and 60 using GCF of these numbers

The first method to find LCM for numbers 84 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 84 and 60 is 12, so

LCM = (84 × 60) ÷ 12

LCM = 5040 ÷ 12

LCM = 420

Finding LCM for 84 and 60 by Listing Multiples

The second method to find LCM for numbers 84 and 60 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

Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540

So the LCM for 84 and 60 is 420

Finding LCM for 84 and 60 by Prime Factorization

Another method to find LCM for numbers 84 and 60 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 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

22 × 31 × 71 × 51 = 420

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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 84 and 60? (The answer is: 420). Select the first number (e.g. '84') and the second number (e.g. '60'). 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
84451260
84461932
84473948
8448336
8449588
84502100
84511428
84521092
84534452
8454756
84554620
8456168
84571596
84582436
84594956
8460420
84615124
84622604
8463252
84641344
84655460
8466924
84675628
84681428
84691932
8470420
84715964
8472504
84736132
84743108

FAQ

What's the Least Common Multiple (LCM) of 84 and 60?

LCM of 84 and 60 is 420

How to find the LCM of 84 and 60 using prime factorization?

To find the LCM of 84 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 420.

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 60: LCM = 420, GCF = 12.

See Also