What is the Least Common Multiple of 80964 and 80975?

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 80964 and 80975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80964 and 80975, than apply into the LCM equation.

GCF(80964,80975) = 1
LCM(80964,80975) = ( 80964 × 80975) / 1
LCM(80964,80975) = 6556059900 / 1
LCM(80964,80975) = 6556059900

Least Common Multiple (LCM) of 80964 and 80975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80964 and 80975. First we will calculate the prime factors of 80964 and 80975.

Prime Factorization of 80964

Prime Factorization of 80975

Now multiplying the highest exponent prime factors to calculate the LCM of 80964 and 80975.

LCM(80964,80975) = 2² × 3² × 13¹ × 173¹ × 5² × 41¹ × 79¹
LCM(80964,80975) = 6556059900