What is the Least Common Multiple of 73136 and 73146?

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 73136 and 73146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73136 and 73146, than apply into the LCM equation.

GCF(73136,73146) = 2
LCM(73136,73146) = ( 73136 × 73146) / 2
LCM(73136,73146) = 5349605856 / 2
LCM(73136,73146) = 2674802928

Least Common Multiple (LCM) of 73136 and 73146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73136 and 73146. First we will calculate the prime factors of 73136 and 73146.

Prime Factorization of 73136

Prime Factorization of 73146

Now multiplying the highest exponent prime factors to calculate the LCM of 73136 and 73146.

LCM(73136,73146) = 2⁴ × 7¹ × 653¹ × 3¹ × 73¹ × 167¹
LCM(73136,73146) = 2674802928