What is the Least Common Multiple of 44646 and 44655?

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 44655 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 44655, than apply into the LCM equation.

GCF(44646,44655) = 3
LCM(44646,44655) = ( 44646 × 44655) / 3
LCM(44646,44655) = 1993667130 / 3
LCM(44646,44655) = 664555710

Least Common Multiple (LCM) of 44646 and 44655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44646 and 44655. First we will calculate the prime factors of 44646 and 44655.

Prime Factorization of 44646

Prime Factorization of 44655

Now multiplying the highest exponent prime factors to calculate the LCM of 44646 and 44655.

LCM(44646,44655) = 2¹ × 3¹ × 7¹ × 1063¹ × 5¹ × 13¹ × 229¹
LCM(44646,44655) = 664555710