What is the Least Common Multiple of 93480 and 93487?

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 93480 and 93487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93480 and 93487, than apply into the LCM equation.

GCF(93480,93487) = 1
LCM(93480,93487) = ( 93480 × 93487) / 1
LCM(93480,93487) = 8739164760 / 1
LCM(93480,93487) = 8739164760

Least Common Multiple (LCM) of 93480 and 93487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93480 and 93487. First we will calculate the prime factors of 93480 and 93487.

Prime Factorization of 93480

Prime Factorization of 93487

Now multiplying the highest exponent prime factors to calculate the LCM of 93480 and 93487.

LCM(93480,93487) = 2³ × 3¹ × 5¹ × 19¹ × 41¹ × 93487¹
LCM(93480,93487) = 8739164760