What is the Least Common Multiple of 61395 and 61410?

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 61395 and 61410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61395 and 61410, than apply into the LCM equation.

GCF(61395,61410) = 15
LCM(61395,61410) = ( 61395 × 61410) / 15
LCM(61395,61410) = 3770266950 / 15
LCM(61395,61410) = 251351130

Least Common Multiple (LCM) of 61395 and 61410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61395 and 61410. First we will calculate the prime factors of 61395 and 61410.

Prime Factorization of 61395

Prime Factorization of 61410

Now multiplying the highest exponent prime factors to calculate the LCM of 61395 and 61410.

LCM(61395,61410) = 3¹ × 5¹ × 4093¹ × 2¹ × 23¹ × 89¹
LCM(61395,61410) = 251351130