What is the Least Common Multiple of 93138 and 93157?

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 93157 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 93157, than apply into the LCM equation.

GCF(93138,93157) = 19
LCM(93138,93157) = ( 93138 × 93157) / 19
LCM(93138,93157) = 8676456666 / 19
LCM(93138,93157) = 456655614

Least Common Multiple (LCM) of 93138 and 93157 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93138 and 93157. First we will calculate the prime factors of 93138 and 93157.

Prime Factorization of 93138

Prime Factorization of 93157

Now multiplying the highest exponent prime factors to calculate the LCM of 93138 and 93157.

LCM(93138,93157) = 2¹ × 3¹ × 19² × 43¹ × 4903¹
LCM(93138,93157) = 456655614