What is the Least Common Multiple of 7656 and 7671?

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 7656 and 7671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7656 and 7671, than apply into the LCM equation.

GCF(7656,7671) = 3
LCM(7656,7671) = ( 7656 × 7671) / 3
LCM(7656,7671) = 58729176 / 3
LCM(7656,7671) = 19576392

Least Common Multiple (LCM) of 7656 and 7671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7656 and 7671. First we will calculate the prime factors of 7656 and 7671.

Prime Factorization of 7656

Prime Factorization of 7671

Now multiplying the highest exponent prime factors to calculate the LCM of 7656 and 7671.

LCM(7656,7671) = 2³ × 3¹ × 11¹ × 29¹ × 2557¹
LCM(7656,7671) = 19576392