What is the Least Common Multiple of 67644 and 67656?

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 67644 and 67656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67644 and 67656, than apply into the LCM equation.

GCF(67644,67656) = 12
LCM(67644,67656) = ( 67644 × 67656) / 12
LCM(67644,67656) = 4576522464 / 12
LCM(67644,67656) = 381376872

Least Common Multiple (LCM) of 67644 and 67656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67644 and 67656. First we will calculate the prime factors of 67644 and 67656.

Prime Factorization of 67644

Prime Factorization of 67656

Now multiplying the highest exponent prime factors to calculate the LCM of 67644 and 67656.

LCM(67644,67656) = 2³ × 3² × 1879¹ × 2819¹
LCM(67644,67656) = 381376872