What is the Least Common Multiple of 44758 and 44765?

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 44758 and 44765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44758 and 44765, than apply into the LCM equation.

GCF(44758,44765) = 7
LCM(44758,44765) = ( 44758 × 44765) / 7
LCM(44758,44765) = 2003591870 / 7
LCM(44758,44765) = 286227410

Least Common Multiple (LCM) of 44758 and 44765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44758 and 44765. First we will calculate the prime factors of 44758 and 44765.

Prime Factorization of 44758

Prime Factorization of 44765

Now multiplying the highest exponent prime factors to calculate the LCM of 44758 and 44765.

LCM(44758,44765) = 2¹ × 7¹ × 23¹ × 139¹ × 5¹ × 1279¹
LCM(44758,44765) = 286227410