What is the Least Common Multiple of 77724 and 77728?

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 77724 and 77728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77724 and 77728, than apply into the LCM equation.

GCF(77724,77728) = 4
LCM(77724,77728) = ( 77724 × 77728) / 4
LCM(77724,77728) = 6041331072 / 4
LCM(77724,77728) = 1510332768

Least Common Multiple (LCM) of 77724 and 77728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77724 and 77728. First we will calculate the prime factors of 77724 and 77728.

Prime Factorization of 77724

Prime Factorization of 77728

Now multiplying the highest exponent prime factors to calculate the LCM of 77724 and 77728.

LCM(77724,77728) = 2⁵ × 3² × 17¹ × 127¹ × 7¹ × 347¹
LCM(77724,77728) = 1510332768