What is the Least Common Multiple of 44646 and 44660?

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 44646 and 44660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44646 and 44660, than apply into the LCM equation.

GCF(44646,44660) = 14
LCM(44646,44660) = ( 44646 × 44660) / 14
LCM(44646,44660) = 1993890360 / 14
LCM(44646,44660) = 142420740

Least Common Multiple (LCM) of 44646 and 44660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44646 and 44660. First we will calculate the prime factors of 44646 and 44660.

Prime Factorization of 44646

Prime Factorization of 44660

Now multiplying the highest exponent prime factors to calculate the LCM of 44646 and 44660.

LCM(44646,44660) = 2² × 3¹ × 7¹ × 1063¹ × 5¹ × 11¹ × 29¹
LCM(44646,44660) = 142420740