GCF and LCM Calculator Logo

What is the Least Common Multiple of 49537 and 49544?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 49537 and 49544 is 2454261128.

LCM(49537,49544) = 2454261128

LCM Calculator and
and

Least Common Multiple of 49537 and 49544 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49537 and 49544, than apply into the LCM equation.

GCF(49537,49544) = 1
LCM(49537,49544) = ( 49537 × 49544) / 1
LCM(49537,49544) = 2454261128 / 1
LCM(49537,49544) = 2454261128

Least Common Multiple (LCM) of 49537 and 49544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49537 and 49544. First we will calculate the prime factors of 49537 and 49544.

Prime Factorization of 49537

Prime factors of 49537 are 49537. Prime factorization of 49537 in exponential form is:

49537 = 495371

Prime Factorization of 49544

Prime factors of 49544 are 2, 11, 563. Prime factorization of 49544 in exponential form is:

49544 = 23 × 111 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 49537 and 49544.

LCM(49537,49544) = 495371 × 23 × 111 × 5631
LCM(49537,49544) = 2454261128