What is the Least Common Multiple of 93774 and 93792?

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 93774 and 93792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93774 and 93792, than apply into the LCM equation.

GCF(93774,93792) = 6
LCM(93774,93792) = ( 93774 × 93792) / 6
LCM(93774,93792) = 8795251008 / 6
LCM(93774,93792) = 1465875168

Least Common Multiple (LCM) of 93774 and 93792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93774 and 93792. First we will calculate the prime factors of 93774 and 93792.

Prime Factorization of 93774

Prime Factorization of 93792

Now multiplying the highest exponent prime factors to calculate the LCM of 93774 and 93792.

LCM(93774,93792) = 2⁵ × 3¹ × 15629¹ × 977¹
LCM(93774,93792) = 1465875168