LCM for 42 and 49

"Least Common Multiple" Calculator
Least Common Multiple of
and

What's the Least Common Multiple (LCM) of 42 and 49?

Answer

LCM of 42 and 49 is
294

(Two hundred ninety-four)

Finding LCM for 42 and 49 using GCF of these numbers

The first method to find LCM for numbers 42 and 49 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 42 and 49 is 7, so

LCM = (42 × 49) ÷ 7

LCM = 2058 ÷ 7

LCM = 294

Finding LCM for 42 and 49 by Listing Multiples

The second method to find LCM for numbers 42 and 49 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 42: 42, 84, 126, 168, 210, 252, 294, 336, 378

Multiples of 49: 49, 98, 147, 196, 245, 294, 343, 392

So the LCM for 42 and 49 is 294

Finding LCM for 42 and 49 by Prime Factorization

Another method to find LCM for numbers 42 and 49 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 49: 7, 7 (exponent form: 72)

21 × 31 × 72 = 294

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 42 and 49? (The answer is: 294). Select the first number (e.g. '42') and the second number (e.g. '49'). 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
4234714
4235210
4236252
42371554
4238798
4239546
4240840
42411722
424242
42431806
4244924
4245630
4246966
42471974
4248336
4249294
42501050
4251714
42521092
42532226
4254378
42552310
4256168
4257798
42581218
42592478
4260420
42612562
42621302
4263126

FAQ

What's the Least Common Multiple (LCM) of 42 and 49?

LCM of 42 and 49 is 294

How to find the LCM of 42 and 49 using prime factorization?

To find the LCM of 42 and 49, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 294.

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 42 and 49: LCM = 294, GCF = 7.

See Also