LCM for 84 and 105

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 84 and 105?

Answer

LCM of 84 and 105 is
420

(Four hundred twenty)

Finding LCM for 84 and 105 using GCF of these numbers

The first method to find LCM for numbers 84 and 105 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 84 and 105 is 21, so

LCM = (84 × 105) ÷ 21

LCM = 8820 ÷ 21

LCM = 420

Finding LCM for 84 and 105 by Listing Multiples

The second method to find LCM for numbers 84 and 105 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 105: 105, 210, 315, 420, 525, 630

So the LCM for 84 and 105 is 420

Finding LCM for 84 and 105 by Prime Factorization

Another method to find LCM for numbers 84 and 105 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 105: 3, 5, 7 (exponent form: 31, 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 105? (The answer is: 420). Select the first number (e.g. '84') and the second number (e.g. '105'). 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
84901260
84911092
84921932
84932604
84943948
84957980
8496672
84978148
8498588
84992772
841002100
841018484
841021428
841038652
841042184
84105420
841064452
841078988
84108756
841099156
841104620
841113108
84112336
841139492
841141596
841159660
841162436
841173276
841184956
841191428

FAQ

What's the Least Common Multiple (LCM) of 84 and 105?

LCM of 84 and 105 is 420

How to find the LCM of 84 and 105 using prime factorization?

To find the LCM of 84 and 105, 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 105: LCM = 420, GCF = 21.

See Also