What is the Least Common Multiple of 73685 and 73700?

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 73685 and 73700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73685 and 73700, than apply into the LCM equation.

GCF(73685,73700) = 5
LCM(73685,73700) = ( 73685 × 73700) / 5
LCM(73685,73700) = 5430584500 / 5
LCM(73685,73700) = 1086116900

Least Common Multiple (LCM) of 73685 and 73700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73685 and 73700. First we will calculate the prime factors of 73685 and 73700.

Prime Factorization of 73685

Prime Factorization of 73700

Now multiplying the highest exponent prime factors to calculate the LCM of 73685 and 73700.

LCM(73685,73700) = 5² × 14737¹ × 2² × 11¹ × 67¹
LCM(73685,73700) = 1086116900