GCF and LCM Calculator Logo

What is the Least Common Multiple of 54637 and 54649?

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 54637 and 54649 is 2985857413.

LCM(54637,54649) = 2985857413

LCM Calculator and
and

Least Common Multiple of 54637 and 54649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54637 and 54649, than apply into the LCM equation.

GCF(54637,54649) = 1
LCM(54637,54649) = ( 54637 × 54649) / 1
LCM(54637,54649) = 2985857413 / 1
LCM(54637,54649) = 2985857413

Least Common Multiple (LCM) of 54637 and 54649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54637 and 54649. First we will calculate the prime factors of 54637 and 54649.

Prime Factorization of 54637

Prime factors of 54637 are 11, 4967. Prime factorization of 54637 in exponential form is:

54637 = 111 × 49671

Prime Factorization of 54649

Prime factors of 54649 are 7, 37, 211. Prime factorization of 54649 in exponential form is:

54649 = 71 × 371 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 54637 and 54649.

LCM(54637,54649) = 111 × 49671 × 71 × 371 × 2111
LCM(54637,54649) = 2985857413