What is the Least Common Multiple of 93015 and 93032?

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 93015 and 93032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93015 and 93032, than apply into the LCM equation.

GCF(93015,93032) = 1
LCM(93015,93032) = ( 93015 × 93032) / 1
LCM(93015,93032) = 8653371480 / 1
LCM(93015,93032) = 8653371480

Least Common Multiple (LCM) of 93015 and 93032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93015 and 93032. First we will calculate the prime factors of 93015 and 93032.

Prime Factorization of 93015

Prime Factorization of 93032

Now multiplying the highest exponent prime factors to calculate the LCM of 93015 and 93032.

LCM(93015,93032) = 3³ × 5¹ × 13¹ × 53¹ × 2³ × 29¹ × 401¹
LCM(93015,93032) = 8653371480