What is the Least Common Multiple of 49630 and 49635?

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 49630 and 49635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49630 and 49635, than apply into the LCM equation.

GCF(49630,49635) = 5
LCM(49630,49635) = ( 49630 × 49635) / 5
LCM(49630,49635) = 2463385050 / 5
LCM(49630,49635) = 492677010

Least Common Multiple (LCM) of 49630 and 49635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49630 and 49635. First we will calculate the prime factors of 49630 and 49635.

Prime Factorization of 49630

Prime Factorization of 49635

Now multiplying the highest exponent prime factors to calculate the LCM of 49630 and 49635.

LCM(49630,49635) = 2¹ × 5¹ × 7¹ × 709¹ × 3² × 1103¹
LCM(49630,49635) = 492677010