What is the Least Common Multiple of 1635 and 1640?

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 1635 and 1640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1635 and 1640, than apply into the LCM equation.

GCF(1635,1640) = 5
LCM(1635,1640) = ( 1635 × 1640) / 5
LCM(1635,1640) = 2681400 / 5
LCM(1635,1640) = 536280

Least Common Multiple (LCM) of 1635 and 1640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1635 and 1640. First we will calculate the prime factors of 1635 and 1640.

Prime Factorization of 1635

Prime Factorization of 1640

Now multiplying the highest exponent prime factors to calculate the LCM of 1635 and 1640.

LCM(1635,1640) = 3¹ × 5¹ × 109¹ × 2³ × 41¹
LCM(1635,1640) = 536280