What is the Least Common Multiple of 93060 and 93072?

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 93060 and 93072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93060 and 93072, than apply into the LCM equation.

GCF(93060,93072) = 12
LCM(93060,93072) = ( 93060 × 93072) / 12
LCM(93060,93072) = 8661280320 / 12
LCM(93060,93072) = 721773360

Least Common Multiple (LCM) of 93060 and 93072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93060 and 93072. First we will calculate the prime factors of 93060 and 93072.

Prime Factorization of 93060

Prime Factorization of 93072

Now multiplying the highest exponent prime factors to calculate the LCM of 93060 and 93072.

LCM(93060,93072) = 2⁴ × 3² × 5¹ × 11¹ × 47¹ × 7¹ × 277¹
LCM(93060,93072) = 721773360