What is the Least Common Multiple of 73695 and 73710?

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 73695 and 73710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73695 and 73710, than apply into the LCM equation.

GCF(73695,73710) = 15
LCM(73695,73710) = ( 73695 × 73710) / 15
LCM(73695,73710) = 5432058450 / 15
LCM(73695,73710) = 362137230

Least Common Multiple (LCM) of 73695 and 73710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73695 and 73710. First we will calculate the prime factors of 73695 and 73710.

Prime Factorization of 73695

Prime Factorization of 73710

Now multiplying the highest exponent prime factors to calculate the LCM of 73695 and 73710.

LCM(73695,73710) = 3⁴ × 5¹ × 17³ × 2¹ × 7¹ × 13¹
LCM(73695,73710) = 362137230