GCF and LCM Calculator Logo

What is the Least Common Multiple of 89623 and 89629?

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 89623 and 89629 is 8032819867.

LCM(89623,89629) = 8032819867

LCM Calculator and
and

Least Common Multiple of 89623 and 89629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89623 and 89629, than apply into the LCM equation.

GCF(89623,89629) = 1
LCM(89623,89629) = ( 89623 × 89629) / 1
LCM(89623,89629) = 8032819867 / 1
LCM(89623,89629) = 8032819867

Least Common Multiple (LCM) of 89623 and 89629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89623 and 89629. First we will calculate the prime factors of 89623 and 89629.

Prime Factorization of 89623

Prime factors of 89623 are 19, 53, 89. Prime factorization of 89623 in exponential form is:

89623 = 191 × 531 × 891

Prime Factorization of 89629

Prime factors of 89629 are 47, 1907. Prime factorization of 89629 in exponential form is:

89629 = 471 × 19071

Now multiplying the highest exponent prime factors to calculate the LCM of 89623 and 89629.

LCM(89623,89629) = 191 × 531 × 891 × 471 × 19071
LCM(89623,89629) = 8032819867