What is the Least Common Multiple of 36670 and 36688?

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 36670 and 36688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36670 and 36688, than apply into the LCM equation.

GCF(36670,36688) = 2
LCM(36670,36688) = ( 36670 × 36688) / 2
LCM(36670,36688) = 1345348960 / 2
LCM(36670,36688) = 672674480

Least Common Multiple (LCM) of 36670 and 36688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36670 and 36688. First we will calculate the prime factors of 36670 and 36688.

Prime Factorization of 36670

Prime Factorization of 36688

Now multiplying the highest exponent prime factors to calculate the LCM of 36670 and 36688.

LCM(36670,36688) = 2⁴ × 5¹ × 19¹ × 193¹ × 2293¹
LCM(36670,36688) = 672674480