What is the Least Common Multiple of 71964 and 71975?

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 71964 and 71975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71964 and 71975, than apply into the LCM equation.

GCF(71964,71975) = 1
LCM(71964,71975) = ( 71964 × 71975) / 1
LCM(71964,71975) = 5179608900 / 1
LCM(71964,71975) = 5179608900

Least Common Multiple (LCM) of 71964 and 71975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71964 and 71975. First we will calculate the prime factors of 71964 and 71975.

Prime Factorization of 71964

Prime Factorization of 71975

Now multiplying the highest exponent prime factors to calculate the LCM of 71964 and 71975.

LCM(71964,71975) = 2² × 3² × 1999¹ × 5² × 2879¹
LCM(71964,71975) = 5179608900