What is the Least Common Multiple of 91914 and 91923?

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 91914 and 91923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91914 and 91923, than apply into the LCM equation.

GCF(91914,91923) = 3
LCM(91914,91923) = ( 91914 × 91923) / 3
LCM(91914,91923) = 8449010622 / 3
LCM(91914,91923) = 2816336874

Least Common Multiple (LCM) of 91914 and 91923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91914 and 91923. First we will calculate the prime factors of 91914 and 91923.

Prime Factorization of 91914

Prime Factorization of 91923

Now multiplying the highest exponent prime factors to calculate the LCM of 91914 and 91923.

LCM(91914,91923) = 2¹ × 3¹ × 15319¹ × 13¹ × 2357¹
LCM(91914,91923) = 2816336874