What is the Least Common Multiple of 67656 and 67666?

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 67656 and 67666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67656 and 67666, than apply into the LCM equation.

GCF(67656,67666) = 2
LCM(67656,67666) = ( 67656 × 67666) / 2
LCM(67656,67666) = 4578010896 / 2
LCM(67656,67666) = 2289005448

Least Common Multiple (LCM) of 67656 and 67666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67656 and 67666. First we will calculate the prime factors of 67656 and 67666.

Prime Factorization of 67656

Prime Factorization of 67666

Now multiplying the highest exponent prime factors to calculate the LCM of 67656 and 67666.

LCM(67656,67666) = 2³ × 3¹ × 2819¹ × 23¹ × 1471¹
LCM(67656,67666) = 2289005448