What is the Least Common Multiple of 73012 and 73026?

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 73012 and 73026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73012 and 73026, than apply into the LCM equation.

GCF(73012,73026) = 2
LCM(73012,73026) = ( 73012 × 73026) / 2
LCM(73012,73026) = 5331774312 / 2
LCM(73012,73026) = 2665887156

Least Common Multiple (LCM) of 73012 and 73026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73012 and 73026. First we will calculate the prime factors of 73012 and 73026.

Prime Factorization of 73012

Prime Factorization of 73026

Now multiplying the highest exponent prime factors to calculate the LCM of 73012 and 73026.

LCM(73012,73026) = 2² × 18253¹ × 3² × 4057¹
LCM(73012,73026) = 2665887156