What is the Least Common Multiple of 80964 and 80976?

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 80976 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 80976, than apply into the LCM equation.

GCF(80964,80976) = 12
LCM(80964,80976) = ( 80964 × 80976) / 12
LCM(80964,80976) = 6556140864 / 12
LCM(80964,80976) = 546345072

Least Common Multiple (LCM) of 80964 and 80976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80964 and 80976. First we will calculate the prime factors of 80964 and 80976.

Prime Factorization of 80964

Prime Factorization of 80976

Now multiplying the highest exponent prime factors to calculate the LCM of 80964 and 80976.

LCM(80964,80976) = 2⁴ × 3² × 13¹ × 173¹ × 7¹ × 241¹
LCM(80964,80976) = 546345072