What is the Least Common Multiple of 91758 and 91773?

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 91773 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 91773, than apply into the LCM equation.

GCF(91758,91773) = 3
LCM(91758,91773) = ( 91758 × 91773) / 3
LCM(91758,91773) = 8420906934 / 3
LCM(91758,91773) = 2806968978

Least Common Multiple (LCM) of 91758 and 91773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91758 and 91773. First we will calculate the prime factors of 91758 and 91773.

Prime Factorization of 91758

Prime Factorization of 91773

Now multiplying the highest exponent prime factors to calculate the LCM of 91758 and 91773.

LCM(91758,91773) = 2¹ × 3⁴ × 41¹ × 373¹ × 11¹ × 103¹
LCM(91758,91773) = 2806968978