What is the Least Common Multiple of 63606 and 63626?

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 63606 and 63626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63606 and 63626, than apply into the LCM equation.

GCF(63606,63626) = 2
LCM(63606,63626) = ( 63606 × 63626) / 2
LCM(63606,63626) = 4046995356 / 2
LCM(63606,63626) = 2023497678

Least Common Multiple (LCM) of 63606 and 63626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63606 and 63626. First we will calculate the prime factors of 63606 and 63626.

Prime Factorization of 63606

Prime Factorization of 63626

Now multiplying the highest exponent prime factors to calculate the LCM of 63606 and 63626.

LCM(63606,63626) = 2¹ × 3¹ × 10601¹ × 29¹ × 1097¹
LCM(63606,63626) = 2023497678