What is the Least Common Multiple of 66630 and 66646?

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 66630 and 66646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66630 and 66646, than apply into the LCM equation.

GCF(66630,66646) = 2
LCM(66630,66646) = ( 66630 × 66646) / 2
LCM(66630,66646) = 4440622980 / 2
LCM(66630,66646) = 2220311490

Least Common Multiple (LCM) of 66630 and 66646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66630 and 66646. First we will calculate the prime factors of 66630 and 66646.

Prime Factorization of 66630

Prime Factorization of 66646

Now multiplying the highest exponent prime factors to calculate the LCM of 66630 and 66646.

LCM(66630,66646) = 2¹ × 3¹ × 5¹ × 2221¹ × 47¹ × 709¹
LCM(66630,66646) = 2220311490