What is the Least Common Multiple of 7728 and 7732?

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 7728 and 7732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7728 and 7732, than apply into the LCM equation.

GCF(7728,7732) = 4
LCM(7728,7732) = ( 7728 × 7732) / 4
LCM(7728,7732) = 59752896 / 4
LCM(7728,7732) = 14938224

Least Common Multiple (LCM) of 7728 and 7732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7728 and 7732. First we will calculate the prime factors of 7728 and 7732.

Prime Factorization of 7728

Prime Factorization of 7732

Now multiplying the highest exponent prime factors to calculate the LCM of 7728 and 7732.

LCM(7728,7732) = 2⁴ × 3¹ × 7¹ × 23¹ × 1933¹
LCM(7728,7732) = 14938224