What is the Least Common Multiple of 91968 and 91974?

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 91968 and 91974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91968 and 91974, than apply into the LCM equation.

GCF(91968,91974) = 6
LCM(91968,91974) = ( 91968 × 91974) / 6
LCM(91968,91974) = 8458664832 / 6
LCM(91968,91974) = 1409777472

Least Common Multiple (LCM) of 91968 and 91974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91968 and 91974. First we will calculate the prime factors of 91968 and 91974.

Prime Factorization of 91968

Prime Factorization of 91974

Now multiplying the highest exponent prime factors to calculate the LCM of 91968 and 91974.

LCM(91968,91974) = 2⁶ × 3¹ × 479¹ × 15329¹
LCM(91968,91974) = 1409777472