What is the Least Common Multiple of 7674 and 7688?

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 7674 and 7688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7674 and 7688, than apply into the LCM equation.

GCF(7674,7688) = 2
LCM(7674,7688) = ( 7674 × 7688) / 2
LCM(7674,7688) = 58997712 / 2
LCM(7674,7688) = 29498856

Least Common Multiple (LCM) of 7674 and 7688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7674 and 7688. First we will calculate the prime factors of 7674 and 7688.

Prime Factorization of 7674

Prime Factorization of 7688

Now multiplying the highest exponent prime factors to calculate the LCM of 7674 and 7688.

LCM(7674,7688) = 2³ × 3¹ × 1279¹ × 31²
LCM(7674,7688) = 29498856