What is the Least Common Multiple of 91458 and 91472?

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 91458 and 91472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91458 and 91472, than apply into the LCM equation.

GCF(91458,91472) = 2
LCM(91458,91472) = ( 91458 × 91472) / 2
LCM(91458,91472) = 8365846176 / 2
LCM(91458,91472) = 4182923088

Least Common Multiple (LCM) of 91458 and 91472 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91458 and 91472. First we will calculate the prime factors of 91458 and 91472.

Prime Factorization of 91458

Prime Factorization of 91472

Now multiplying the highest exponent prime factors to calculate the LCM of 91458 and 91472.

LCM(91458,91472) = 2⁴ × 3² × 5081¹ × 5717¹
LCM(91458,91472) = 4182923088