GCF and LCM Calculator Logo

What is the Least Common Multiple of 73156 and 73176?

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 (LCM) of 73156 and 73176 is 1338315864.

LCM(73156,73176) = 1338315864

LCM Calculator and
and

Least Common Multiple of 73156 and 73176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73156 and 73176, than apply into the LCM equation.

GCF(73156,73176) = 4
LCM(73156,73176) = ( 73156 × 73176) / 4
LCM(73156,73176) = 5353263456 / 4
LCM(73156,73176) = 1338315864

Least Common Multiple (LCM) of 73156 and 73176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73156 and 73176. First we will calculate the prime factors of 73156 and 73176.

Prime Factorization of 73156

Prime factors of 73156 are 2, 18289. Prime factorization of 73156 in exponential form is:

73156 = 22 × 182891

Prime Factorization of 73176

Prime factors of 73176 are 2, 3, 3049. Prime factorization of 73176 in exponential form is:

73176 = 23 × 31 × 30491

Now multiplying the highest exponent prime factors to calculate the LCM of 73156 and 73176.

LCM(73156,73176) = 23 × 182891 × 31 × 30491
LCM(73156,73176) = 1338315864