What is the Least Common Multiple of 67656 and 67672?

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 67672 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 67672, than apply into the LCM equation.

GCF(67656,67672) = 8
LCM(67656,67672) = ( 67656 × 67672) / 8
LCM(67656,67672) = 4578416832 / 8
LCM(67656,67672) = 572302104

Least Common Multiple (LCM) of 67656 and 67672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67656 and 67672. First we will calculate the prime factors of 67656 and 67672.

Prime Factorization of 67656

Prime Factorization of 67672

Now multiplying the highest exponent prime factors to calculate the LCM of 67656 and 67672.

LCM(67656,67672) = 2³ × 3¹ × 2819¹ × 11¹ × 769¹
LCM(67656,67672) = 572302104