What is the Least Common Multiple of 44988 and 45003?

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 44988 and 45003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44988 and 45003, than apply into the LCM equation.

GCF(44988,45003) = 3
LCM(44988,45003) = ( 44988 × 45003) / 3
LCM(44988,45003) = 2024594964 / 3
LCM(44988,45003) = 674864988

Least Common Multiple (LCM) of 44988 and 45003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44988 and 45003. First we will calculate the prime factors of 44988 and 45003.

Prime Factorization of 44988

Prime Factorization of 45003

Now multiplying the highest exponent prime factors to calculate the LCM of 44988 and 45003.

LCM(44988,45003) = 2² × 3¹ × 23¹ × 163¹ × 7¹ × 2143¹
LCM(44988,45003) = 674864988