What is the Least Common Multiple of 93475 and 93480?

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 93475 and 93480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93475 and 93480, than apply into the LCM equation.

GCF(93475,93480) = 5
LCM(93475,93480) = ( 93475 × 93480) / 5
LCM(93475,93480) = 8738043000 / 5
LCM(93475,93480) = 1747608600

Least Common Multiple (LCM) of 93475 and 93480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93475 and 93480. First we will calculate the prime factors of 93475 and 93480.

Prime Factorization of 93475

Prime Factorization of 93480

Now multiplying the highest exponent prime factors to calculate the LCM of 93475 and 93480.

LCM(93475,93480) = 5² × 3739¹ × 2³ × 3¹ × 19¹ × 41¹
LCM(93475,93480) = 1747608600