What is the Least Common Multiple of 91758 and 91772?

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 91758 and 91772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91758 and 91772, than apply into the LCM equation.

GCF(91758,91772) = 2
LCM(91758,91772) = ( 91758 × 91772) / 2
LCM(91758,91772) = 8420815176 / 2
LCM(91758,91772) = 4210407588

Least Common Multiple (LCM) of 91758 and 91772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91758 and 91772. First we will calculate the prime factors of 91758 and 91772.

Prime Factorization of 91758

Prime Factorization of 91772

Now multiplying the highest exponent prime factors to calculate the LCM of 91758 and 91772.

LCM(91758,91772) = 2² × 3¹ × 41¹ × 373¹ × 22943¹
LCM(91758,91772) = 4210407588