What is the Least Common Multiple of 80976 and 80983?

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 80976 and 80983 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80976 and 80983, than apply into the LCM equation.

GCF(80976,80983) = 7
LCM(80976,80983) = ( 80976 × 80983) / 7
LCM(80976,80983) = 6557679408 / 7
LCM(80976,80983) = 936811344

Least Common Multiple (LCM) of 80976 and 80983 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80976 and 80983. First we will calculate the prime factors of 80976 and 80983.

Prime Factorization of 80976

Prime Factorization of 80983

Now multiplying the highest exponent prime factors to calculate the LCM of 80976 and 80983.

LCM(80976,80983) = 2⁴ × 3¹ × 7¹ × 241¹ × 23¹ × 503¹
LCM(80976,80983) = 936811344