What is the Least Common Multiple of 91358 and 91372?

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 91358 and 91372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91358 and 91372, than apply into the LCM equation.

GCF(91358,91372) = 2
LCM(91358,91372) = ( 91358 × 91372) / 2
LCM(91358,91372) = 8347563176 / 2
LCM(91358,91372) = 4173781588

Least Common Multiple (LCM) of 91358 and 91372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91358 and 91372. First we will calculate the prime factors of 91358 and 91372.

Prime Factorization of 91358

Prime Factorization of 91372

Now multiplying the highest exponent prime factors to calculate the LCM of 91358 and 91372.

LCM(91358,91372) = 2² × 17¹ × 2687¹ × 53¹ × 431¹
LCM(91358,91372) = 4173781588