What is the Least Common Multiple of 44765 and 44785?

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 44765 and 44785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44765 and 44785, than apply into the LCM equation.

GCF(44765,44785) = 5
LCM(44765,44785) = ( 44765 × 44785) / 5
LCM(44765,44785) = 2004800525 / 5
LCM(44765,44785) = 400960105

Least Common Multiple (LCM) of 44765 and 44785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44765 and 44785. First we will calculate the prime factors of 44765 and 44785.

Prime Factorization of 44765

Prime Factorization of 44785

Now multiplying the highest exponent prime factors to calculate the LCM of 44765 and 44785.

LCM(44765,44785) = 5¹ × 7¹ × 1279¹ × 13² × 53¹
LCM(44765,44785) = 400960105