What is the Least Common Multiple of 7644 and 7657?

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 7644 and 7657 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7644 and 7657, than apply into the LCM equation.

GCF(7644,7657) = 13
LCM(7644,7657) = ( 7644 × 7657) / 13
LCM(7644,7657) = 58530108 / 13
LCM(7644,7657) = 4502316

Least Common Multiple (LCM) of 7644 and 7657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7644 and 7657. First we will calculate the prime factors of 7644 and 7657.

Prime Factorization of 7644

Prime Factorization of 7657

Now multiplying the highest exponent prime factors to calculate the LCM of 7644 and 7657.

LCM(7644,7657) = 2² × 3¹ × 7² × 13¹ × 19¹ × 31¹
LCM(7644,7657) = 4502316