What is the Least Common Multiple of 61410 and 61416?

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 61416 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 61416, than apply into the LCM equation.

GCF(61410,61416) = 6
LCM(61410,61416) = ( 61410 × 61416) / 6
LCM(61410,61416) = 3771556560 / 6
LCM(61410,61416) = 628592760

Least Common Multiple (LCM) of 61410 and 61416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61410 and 61416. First we will calculate the prime factors of 61410 and 61416.

Prime Factorization of 61410

Prime Factorization of 61416

Now multiplying the highest exponent prime factors to calculate the LCM of 61410 and 61416.

LCM(61410,61416) = 2³ × 3² × 5¹ × 23¹ × 89¹ × 853¹
LCM(61410,61416) = 628592760