What is the Least Common Multiple of 66636 and 66650?

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 66636 and 66650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66636 and 66650, than apply into the LCM equation.

GCF(66636,66650) = 2
LCM(66636,66650) = ( 66636 × 66650) / 2
LCM(66636,66650) = 4441289400 / 2
LCM(66636,66650) = 2220644700

Least Common Multiple (LCM) of 66636 and 66650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66636 and 66650. First we will calculate the prime factors of 66636 and 66650.

Prime Factorization of 66636

Prime Factorization of 66650

Now multiplying the highest exponent prime factors to calculate the LCM of 66636 and 66650.

LCM(66636,66650) = 2² × 3³ × 617¹ × 5² × 31¹ × 43¹
LCM(66636,66650) = 2220644700