What is the Least Common Multiple of 51984 and 51994?

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 51984 and 51994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51984 and 51994, than apply into the LCM equation.

GCF(51984,51994) = 2
LCM(51984,51994) = ( 51984 × 51994) / 2
LCM(51984,51994) = 2702856096 / 2
LCM(51984,51994) = 1351428048

Least Common Multiple (LCM) of 51984 and 51994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51984 and 51994. First we will calculate the prime factors of 51984 and 51994.

Prime Factorization of 51984

Prime Factorization of 51994

Now multiplying the highest exponent prime factors to calculate the LCM of 51984 and 51994.

LCM(51984,51994) = 2⁴ × 3² × 19² × 25997¹
LCM(51984,51994) = 1351428048