What is the Least Common Multiple of 91344 and 91358?

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 91344 and 91358 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91344 and 91358, than apply into the LCM equation.

GCF(91344,91358) = 2
LCM(91344,91358) = ( 91344 × 91358) / 2
LCM(91344,91358) = 8345005152 / 2
LCM(91344,91358) = 4172502576

Least Common Multiple (LCM) of 91344 and 91358 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91344 and 91358. First we will calculate the prime factors of 91344 and 91358.

Prime Factorization of 91344

Prime Factorization of 91358

Now multiplying the highest exponent prime factors to calculate the LCM of 91344 and 91358.

LCM(91344,91358) = 2⁴ × 3¹ × 11¹ × 173¹ × 17¹ × 2687¹
LCM(91344,91358) = 4172502576