What is the Least Common Multiple of 66642 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 66642 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 66642 and 66646, than apply into the LCM equation.

GCF(66642,66646) = 2
LCM(66642,66646) = ( 66642 × 66646) / 2
LCM(66642,66646) = 4441422732 / 2
LCM(66642,66646) = 2220711366

Least Common Multiple (LCM) of 66642 and 66646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66642 and 66646. First we will calculate the prime factors of 66642 and 66646.

Prime Factorization of 66642

Prime Factorization of 66646

Now multiplying the highest exponent prime factors to calculate the LCM of 66642 and 66646.

LCM(66642,66646) = 2¹ × 3¹ × 29¹ × 383¹ × 47¹ × 709¹
LCM(66642,66646) = 2220711366