What is the Least Common Multiple of 91936 and 91951?

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 91936 and 91951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91936 and 91951, than apply into the LCM equation.

GCF(91936,91951) = 1
LCM(91936,91951) = ( 91936 × 91951) / 1
LCM(91936,91951) = 8453607136 / 1
LCM(91936,91951) = 8453607136

Least Common Multiple (LCM) of 91936 and 91951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91936 and 91951. First we will calculate the prime factors of 91936 and 91951.

Prime Factorization of 91936

Prime Factorization of 91951

Now multiplying the highest exponent prime factors to calculate the LCM of 91936 and 91951.

LCM(91936,91951) = 2⁵ × 13² × 17¹ × 91951¹
LCM(91936,91951) = 8453607136