What is the Least Common Multiple of 61410 and 61428?

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 61410 and 61428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61410 and 61428, than apply into the LCM equation.

GCF(61410,61428) = 6
LCM(61410,61428) = ( 61410 × 61428) / 6
LCM(61410,61428) = 3772293480 / 6
LCM(61410,61428) = 628715580

Least Common Multiple (LCM) of 61410 and 61428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61410 and 61428. First we will calculate the prime factors of 61410 and 61428.

Prime Factorization of 61410

Prime Factorization of 61428

Now multiplying the highest exponent prime factors to calculate the LCM of 61410 and 61428.

LCM(61410,61428) = 2² × 3¹ × 5¹ × 23¹ × 89¹ × 5119¹
LCM(61410,61428) = 628715580