What is the Least Common Multiple of 91936 and 91948?

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 91948 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 91948, than apply into the LCM equation.

GCF(91936,91948) = 4
LCM(91936,91948) = ( 91936 × 91948) / 4
LCM(91936,91948) = 8453331328 / 4
LCM(91936,91948) = 2113332832

Least Common Multiple (LCM) of 91936 and 91948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91936 and 91948. First we will calculate the prime factors of 91936 and 91948.

Prime Factorization of 91936

Prime Factorization of 91948

Now multiplying the highest exponent prime factors to calculate the LCM of 91936 and 91948.

LCM(91936,91948) = 2⁵ × 13² × 17¹ × 127¹ × 181¹
LCM(91936,91948) = 2113332832