What is the Least Common Multiple of 91560 and 91574?

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 91560 and 91574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91560 and 91574, than apply into the LCM equation.

GCF(91560,91574) = 14
LCM(91560,91574) = ( 91560 × 91574) / 14
LCM(91560,91574) = 8384515440 / 14
LCM(91560,91574) = 598893960

Least Common Multiple (LCM) of 91560 and 91574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91560 and 91574. First we will calculate the prime factors of 91560 and 91574.

Prime Factorization of 91560

Prime Factorization of 91574

Now multiplying the highest exponent prime factors to calculate the LCM of 91560 and 91574.

LCM(91560,91574) = 2³ × 3¹ × 5¹ × 7¹ × 109¹ × 31¹ × 211¹
LCM(91560,91574) = 598893960