What is the Least Common Multiple of 36656 and 36674?

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 36656 and 36674 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36656 and 36674, than apply into the LCM equation.

GCF(36656,36674) = 2
LCM(36656,36674) = ( 36656 × 36674) / 2
LCM(36656,36674) = 1344322144 / 2
LCM(36656,36674) = 672161072

Least Common Multiple (LCM) of 36656 and 36674 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36656 and 36674. First we will calculate the prime factors of 36656 and 36674.

Prime Factorization of 36656

Prime Factorization of 36674

Now multiplying the highest exponent prime factors to calculate the LCM of 36656 and 36674.

LCM(36656,36674) = 2⁴ × 29¹ × 79¹ × 11¹ × 1667¹
LCM(36656,36674) = 672161072