What is the Least Common Multiple of 73112 and 73131?

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 73112 and 73131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73112 and 73131, than apply into the LCM equation.

GCF(73112,73131) = 19
LCM(73112,73131) = ( 73112 × 73131) / 19
LCM(73112,73131) = 5346753672 / 19
LCM(73112,73131) = 281408088

Least Common Multiple (LCM) of 73112 and 73131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73112 and 73131. First we will calculate the prime factors of 73112 and 73131.

Prime Factorization of 73112

Prime Factorization of 73131

Now multiplying the highest exponent prime factors to calculate the LCM of 73112 and 73131.

LCM(73112,73131) = 2³ × 13¹ × 19¹ × 37¹ × 3¹ × 1283¹
LCM(73112,73131) = 281408088