What is the Least Common Multiple of 93138 and 93147?

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 93138 and 93147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93138 and 93147, than apply into the LCM equation.

GCF(93138,93147) = 3
LCM(93138,93147) = ( 93138 × 93147) / 3
LCM(93138,93147) = 8675525286 / 3
LCM(93138,93147) = 2891841762

Least Common Multiple (LCM) of 93138 and 93147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93138 and 93147. First we will calculate the prime factors of 93138 and 93147.

Prime Factorization of 93138

Prime Factorization of 93147

Now multiplying the highest exponent prime factors to calculate the LCM of 93138 and 93147.

LCM(93138,93147) = 2¹ × 3¹ × 19² × 43¹ × 61¹ × 509¹
LCM(93138,93147) = 2891841762