LCM for 84 and 140

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What's the Least Common Multiple (LCM) of 84 and 140?

Answer

LCM of 84 and 140 is
420

(Four hundred twenty)

Finding LCM for 84 and 140 using GCF of these numbers

The first method to find LCM for numbers 84 and 140 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 84 and 140 is 28, so

LCM = (84 × 140) ÷ 28

LCM = 11,760 ÷ 28

LCM = 420

Finding LCM for 84 and 140 by Listing Multiples

The second method to find LCM for numbers 84 and 140 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 140: 140, 280, 420, 560, 700

So the LCM for 84 and 140 is 420

Finding LCM for 84 and 140 by Prime Factorization

Another method to find LCM for numbers 84 and 140 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 140: 2, 2, 5, 7 (exponent form: 22, 51, 71)

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 140? (The answer is: 420). Select the first number (e.g. '84') and the second number (e.g. '140'). 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
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LCM Table

Number 1Number 2LCM
8412510,500
84126252
8412710,668
841282,688
841293,612
841305,460
8413111,004
84132924
841331,596
841345,628
841353,780
841362,856
8413711,508
841381,932
8413911,676
84140420
841413,948
841425,964
8414312,012
841441,008
8414512,180
841466,132
84147588
841483,108
8414912,516
841502,100
8415112,684
841523,192
841534,284
84154924

FAQ

What's the Least Common Multiple (LCM) of 84 and 140?

LCM of 84 and 140 is 420

How to find the LCM of 84 and 140 using prime factorization?

To find the LCM of 84 and 140, 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 140: LCM = 420, GCF = 28.

See Also