What is the Least Common Multiple of 10635 and 10649?

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 10635 and 10649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10635 and 10649, than apply into the LCM equation.

GCF(10635,10649) = 1
LCM(10635,10649) = ( 10635 × 10649) / 1
LCM(10635,10649) = 113252115 / 1
LCM(10635,10649) = 113252115

Least Common Multiple (LCM) of 10635 and 10649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10635 and 10649. First we will calculate the prime factors of 10635 and 10649.

Prime Factorization of 10635

Prime Factorization of 10649

Now multiplying the highest exponent prime factors to calculate the LCM of 10635 and 10649.

LCM(10635,10649) = 3¹ × 5¹ × 709¹ × 23¹ × 463¹
LCM(10635,10649) = 113252115