What is the Least Common Multiple of 43992 and 44001?

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 43992 and 44001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43992 and 44001, than apply into the LCM equation.

GCF(43992,44001) = 9
LCM(43992,44001) = ( 43992 × 44001) / 9
LCM(43992,44001) = 1935691992 / 9
LCM(43992,44001) = 215076888

Least Common Multiple (LCM) of 43992 and 44001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43992 and 44001. First we will calculate the prime factors of 43992 and 44001.

Prime Factorization of 43992

Prime Factorization of 44001

Now multiplying the highest exponent prime factors to calculate the LCM of 43992 and 44001.

LCM(43992,44001) = 2³ × 3² × 13¹ × 47¹ × 4889¹
LCM(43992,44001) = 215076888