What is the Least Common Multiple of 93480 and 93484?

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 93484 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 93484, than apply into the LCM equation.

GCF(93480,93484) = 4
LCM(93480,93484) = ( 93480 × 93484) / 4
LCM(93480,93484) = 8738884320 / 4
LCM(93480,93484) = 2184721080

Least Common Multiple (LCM) of 93480 and 93484 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93480 and 93484. First we will calculate the prime factors of 93480 and 93484.

Prime Factorization of 93480

Prime Factorization of 93484

Now multiplying the highest exponent prime factors to calculate the LCM of 93480 and 93484.

LCM(93480,93484) = 2³ × 3¹ × 5¹ × 19¹ × 41¹ × 23371¹
LCM(93480,93484) = 2184721080