What is the Least Common Multiple of 67724 and 67728?

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 67724 and 67728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67724 and 67728, than apply into the LCM equation.

GCF(67724,67728) = 4
LCM(67724,67728) = ( 67724 × 67728) / 4
LCM(67724,67728) = 4586811072 / 4
LCM(67724,67728) = 1146702768

Least Common Multiple (LCM) of 67724 and 67728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67724 and 67728. First we will calculate the prime factors of 67724 and 67728.

Prime Factorization of 67724

Prime Factorization of 67728

Now multiplying the highest exponent prime factors to calculate the LCM of 67724 and 67728.

LCM(67724,67728) = 2⁴ × 16931¹ × 3¹ × 17¹ × 83¹
LCM(67724,67728) = 1146702768