What is the Least Common Multiple of 44980 and 44987?

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 44980 and 44987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44980 and 44987, than apply into the LCM equation.

GCF(44980,44987) = 1
LCM(44980,44987) = ( 44980 × 44987) / 1
LCM(44980,44987) = 2023515260 / 1
LCM(44980,44987) = 2023515260

Least Common Multiple (LCM) of 44980 and 44987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44980 and 44987. First we will calculate the prime factors of 44980 and 44987.

Prime Factorization of 44980

Prime Factorization of 44987

Now multiplying the highest exponent prime factors to calculate the LCM of 44980 and 44987.

LCM(44980,44987) = 2² × 5¹ × 13¹ × 173¹ × 44987¹
LCM(44980,44987) = 2023515260