What is the Least Common Multiple of 73100 and 73116?

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 73100 and 73116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73100 and 73116, than apply into the LCM equation.

GCF(73100,73116) = 4
LCM(73100,73116) = ( 73100 × 73116) / 4
LCM(73100,73116) = 5344779600 / 4
LCM(73100,73116) = 1336194900

Least Common Multiple (LCM) of 73100 and 73116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73100 and 73116. First we will calculate the prime factors of 73100 and 73116.

Prime Factorization of 73100

Prime Factorization of 73116

Now multiplying the highest exponent prime factors to calculate the LCM of 73100 and 73116.

LCM(73100,73116) = 2² × 5² × 17¹ × 43¹ × 3³ × 677¹
LCM(73100,73116) = 1336194900