What is the Least Common Multiple of 44688 and 44705?

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 44688 and 44705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44688 and 44705, than apply into the LCM equation.

GCF(44688,44705) = 1
LCM(44688,44705) = ( 44688 × 44705) / 1
LCM(44688,44705) = 1997777040 / 1
LCM(44688,44705) = 1997777040

Least Common Multiple (LCM) of 44688 and 44705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44688 and 44705. First we will calculate the prime factors of 44688 and 44705.

Prime Factorization of 44688

Prime Factorization of 44705

Now multiplying the highest exponent prime factors to calculate the LCM of 44688 and 44705.

LCM(44688,44705) = 2⁴ × 3¹ × 7² × 19¹ × 5¹ × 8941¹
LCM(44688,44705) = 1997777040