What is the Least Common Multiple of 53606 and 53626?

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 53606 and 53626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53606 and 53626, than apply into the LCM equation.

GCF(53606,53626) = 2
LCM(53606,53626) = ( 53606 × 53626) / 2
LCM(53606,53626) = 2874675356 / 2
LCM(53606,53626) = 1437337678

Least Common Multiple (LCM) of 53606 and 53626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53606 and 53626. First we will calculate the prime factors of 53606 and 53626.

Prime Factorization of 53606

Prime Factorization of 53626

Now multiplying the highest exponent prime factors to calculate the LCM of 53606 and 53626.

LCM(53606,53626) = 2¹ × 7² × 547¹ × 26813¹
LCM(53606,53626) = 1437337678