What is the Least Common Multiple of 68976 and 68996?

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 68976 and 68996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68976 and 68996, than apply into the LCM equation.

GCF(68976,68996) = 4
LCM(68976,68996) = ( 68976 × 68996) / 4
LCM(68976,68996) = 4759068096 / 4
LCM(68976,68996) = 1189767024

Least Common Multiple (LCM) of 68976 and 68996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68976 and 68996. First we will calculate the prime factors of 68976 and 68996.

Prime Factorization of 68976

Prime Factorization of 68996

Now multiplying the highest exponent prime factors to calculate the LCM of 68976 and 68996.

LCM(68976,68996) = 2⁴ × 3² × 479¹ × 47¹ × 367¹
LCM(68976,68996) = 1189767024