What is the Least Common Multiple of 7664 and 7674?

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 7664 and 7674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7664 and 7674, than apply into the LCM equation.

GCF(7664,7674) = 2
LCM(7664,7674) = ( 7664 × 7674) / 2
LCM(7664,7674) = 58813536 / 2
LCM(7664,7674) = 29406768

Least Common Multiple (LCM) of 7664 and 7674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7664 and 7674. First we will calculate the prime factors of 7664 and 7674.

Prime Factorization of 7664

Prime Factorization of 7674

Now multiplying the highest exponent prime factors to calculate the LCM of 7664 and 7674.

LCM(7664,7674) = 2⁴ × 479¹ × 3¹ × 1279¹
LCM(7664,7674) = 29406768