What is the Least Common Multiple of 10635 and 10640?

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 10640 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 10640, than apply into the LCM equation.

GCF(10635,10640) = 5
LCM(10635,10640) = ( 10635 × 10640) / 5
LCM(10635,10640) = 113156400 / 5
LCM(10635,10640) = 22631280

Least Common Multiple (LCM) of 10635 and 10640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10635 and 10640. First we will calculate the prime factors of 10635 and 10640.

Prime Factorization of 10635

Prime Factorization of 10640

Now multiplying the highest exponent prime factors to calculate the LCM of 10635 and 10640.

LCM(10635,10640) = 3¹ × 5¹ × 709¹ × 2⁴ × 7¹ × 19¹
LCM(10635,10640) = 22631280