What is the Least Common Multiple of 91488 and 91494?

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 91494 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 91494, than apply into the LCM equation.

GCF(91488,91494) = 6
LCM(91488,91494) = ( 91488 × 91494) / 6
LCM(91488,91494) = 8370603072 / 6
LCM(91488,91494) = 1395100512

Least Common Multiple (LCM) of 91488 and 91494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91488 and 91494. First we will calculate the prime factors of 91488 and 91494.

Prime Factorization of 91488

Prime Factorization of 91494

Now multiplying the highest exponent prime factors to calculate the LCM of 91488 and 91494.

LCM(91488,91494) = 2⁵ × 3² × 953¹ × 13¹ × 17¹ × 23¹
LCM(91488,91494) = 1395100512