What is the Least Common Multiple of 91776 and 91792?

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 91776 and 91792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91776 and 91792, than apply into the LCM equation.

GCF(91776,91792) = 16
LCM(91776,91792) = ( 91776 × 91792) / 16
LCM(91776,91792) = 8424302592 / 16
LCM(91776,91792) = 526518912

Least Common Multiple (LCM) of 91776 and 91792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91776 and 91792. First we will calculate the prime factors of 91776 and 91792.

Prime Factorization of 91776

Prime Factorization of 91792

Now multiplying the highest exponent prime factors to calculate the LCM of 91776 and 91792.

LCM(91776,91792) = 2⁷ × 3¹ × 239¹ × 5737¹
LCM(91776,91792) = 526518912