What is the Least Common Multiple of 44746 and 44752?

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 44746 and 44752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44746 and 44752, than apply into the LCM equation.

GCF(44746,44752) = 2
LCM(44746,44752) = ( 44746 × 44752) / 2
LCM(44746,44752) = 2002472992 / 2
LCM(44746,44752) = 1001236496

Least Common Multiple (LCM) of 44746 and 44752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44746 and 44752. First we will calculate the prime factors of 44746 and 44752.

Prime Factorization of 44746

Prime Factorization of 44752

Now multiplying the highest exponent prime factors to calculate the LCM of 44746 and 44752.

LCM(44746,44752) = 2⁴ × 13¹ × 1721¹ × 2797¹
LCM(44746,44752) = 1001236496