What is the Least Common Multiple of 43984 and 44002?

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 43984 and 44002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43984 and 44002, than apply into the LCM equation.

GCF(43984,44002) = 2
LCM(43984,44002) = ( 43984 × 44002) / 2
LCM(43984,44002) = 1935383968 / 2
LCM(43984,44002) = 967691984

Least Common Multiple (LCM) of 43984 and 44002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43984 and 44002. First we will calculate the prime factors of 43984 and 44002.

Prime Factorization of 43984

Prime Factorization of 44002

Now multiplying the highest exponent prime factors to calculate the LCM of 43984 and 44002.

LCM(43984,44002) = 2⁴ × 2749¹ × 7² × 449¹
LCM(43984,44002) = 967691984