What is the Least Common Multiple of 91623 and 91629?

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 of 91623 and 91629 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91623 and 91629, than apply into the LCM equation.

GCF(91623,91629) = 3
LCM(91623,91629) = ( 91623 × 91629) / 3
LCM(91623,91629) = 8395323867 / 3
LCM(91623,91629) = 2798441289

Least Common Multiple (LCM) of 91623 and 91629 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91623 and 91629. First we will calculate the prime factors of 91623 and 91629.

Prime Factorization of 91623

Prime Factorization of 91629

Now multiplying the highest exponent prime factors to calculate the LCM of 91623 and 91629.

LCM(91623,91629) = 3² × 7¹ × 4363¹ × 10181¹
LCM(91623,91629) = 2798441289