What is the Least Common Multiple of 44749 and 44764?

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 44749 and 44764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44749 and 44764, than apply into the LCM equation.

GCF(44749,44764) = 1
LCM(44749,44764) = ( 44749 × 44764) / 1
LCM(44749,44764) = 2003144236 / 1
LCM(44749,44764) = 2003144236

Least Common Multiple (LCM) of 44749 and 44764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44749 and 44764. First we will calculate the prime factors of 44749 and 44764.

Prime Factorization of 44749

Prime Factorization of 44764

Now multiplying the highest exponent prime factors to calculate the LCM of 44749 and 44764.

LCM(44749,44764) = 73¹ × 613¹ × 2² × 19² × 31¹
LCM(44749,44764) = 2003144236