What is the Least Common Multiple of 67712 and 67724?

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 67712 and 67724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67712 and 67724, than apply into the LCM equation.

GCF(67712,67724) = 4
LCM(67712,67724) = ( 67712 × 67724) / 4
LCM(67712,67724) = 4585727488 / 4
LCM(67712,67724) = 1146431872

Least Common Multiple (LCM) of 67712 and 67724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67712 and 67724. First we will calculate the prime factors of 67712 and 67724.

Prime Factorization of 67712

Prime Factorization of 67724

Now multiplying the highest exponent prime factors to calculate the LCM of 67712 and 67724.

LCM(67712,67724) = 2⁷ × 23² × 16931¹
LCM(67712,67724) = 1146431872