GCF and LCM Calculator Logo

What is the Least Common Multiple of 68624 and 68628?

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 68624 and 68628 is 1177381968.

LCM(68624,68628) = 1177381968

LCM Calculator and
and

Least Common Multiple of 68624 and 68628 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68624 and 68628, than apply into the LCM equation.

GCF(68624,68628) = 4
LCM(68624,68628) = ( 68624 × 68628) / 4
LCM(68624,68628) = 4709527872 / 4
LCM(68624,68628) = 1177381968

Least Common Multiple (LCM) of 68624 and 68628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68624 and 68628. First we will calculate the prime factors of 68624 and 68628.

Prime Factorization of 68624

Prime factors of 68624 are 2, 4289. Prime factorization of 68624 in exponential form is:

68624 = 24 × 42891

Prime Factorization of 68628

Prime factors of 68628 are 2, 3, 7, 19, 43. Prime factorization of 68628 in exponential form is:

68628 = 22 × 31 × 71 × 191 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 68624 and 68628.

LCM(68624,68628) = 24 × 42891 × 31 × 71 × 191 × 431
LCM(68624,68628) = 1177381968