What is the Least Common Multiple of 91488 and 91497?

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 91488 and 91497 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91488 and 91497, than apply into the LCM equation.

GCF(91488,91497) = 3
LCM(91488,91497) = ( 91488 × 91497) / 3
LCM(91488,91497) = 8370877536 / 3
LCM(91488,91497) = 2790292512

Least Common Multiple (LCM) of 91488 and 91497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91488 and 91497. First we will calculate the prime factors of 91488 and 91497.

Prime Factorization of 91488

Prime Factorization of 91497

Now multiplying the highest exponent prime factors to calculate the LCM of 91488 and 91497.

LCM(91488,91497) = 2⁵ × 3¹ × 953¹ × 7¹ × 4357¹
LCM(91488,91497) = 2790292512