What is the Least Common Multiple of 66636 and 66656?

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 66656 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 66656, than apply into the LCM equation.

GCF(66636,66656) = 4
LCM(66636,66656) = ( 66636 × 66656) / 4
LCM(66636,66656) = 4441689216 / 4
LCM(66636,66656) = 1110422304

Least Common Multiple (LCM) of 66636 and 66656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66636 and 66656. First we will calculate the prime factors of 66636 and 66656.

Prime Factorization of 66636

Prime Factorization of 66656

Now multiplying the highest exponent prime factors to calculate the LCM of 66636 and 66656.

LCM(66636,66656) = 2⁵ × 3³ × 617¹ × 2083¹
LCM(66636,66656) = 1110422304