What is the Least Common Multiple of 7709 and 7728?

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 7709 and 7728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7709 and 7728, than apply into the LCM equation.

GCF(7709,7728) = 1
LCM(7709,7728) = ( 7709 × 7728) / 1
LCM(7709,7728) = 59575152 / 1
LCM(7709,7728) = 59575152

Least Common Multiple (LCM) of 7709 and 7728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7709 and 7728. First we will calculate the prime factors of 7709 and 7728.

Prime Factorization of 7709

Prime Factorization of 7728

Now multiplying the highest exponent prime factors to calculate the LCM of 7709 and 7728.

LCM(7709,7728) = 13¹ × 593¹ × 2⁴ × 3¹ × 7¹ × 23¹
LCM(7709,7728) = 59575152