What is the Least Common Multiple of 67856 and 67876?

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 67856 and 67876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67856 and 67876, than apply into the LCM equation.

GCF(67856,67876) = 4
LCM(67856,67876) = ( 67856 × 67876) / 4
LCM(67856,67876) = 4605793856 / 4
LCM(67856,67876) = 1151448464

Least Common Multiple (LCM) of 67856 and 67876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67856 and 67876. First we will calculate the prime factors of 67856 and 67876.

Prime Factorization of 67856

Prime Factorization of 67876

Now multiplying the highest exponent prime factors to calculate the LCM of 67856 and 67876.

LCM(67856,67876) = 2⁴ × 4241¹ × 71¹ × 239¹
LCM(67856,67876) = 1151448464