What is the Least Common Multiple of 1625 and 1635?

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 1625 and 1635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1625 and 1635, than apply into the LCM equation.

GCF(1625,1635) = 5
LCM(1625,1635) = ( 1625 × 1635) / 5
LCM(1625,1635) = 2656875 / 5
LCM(1625,1635) = 531375

Least Common Multiple (LCM) of 1625 and 1635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1625 and 1635. First we will calculate the prime factors of 1625 and 1635.

Prime Factorization of 1625

Prime Factorization of 1635

Now multiplying the highest exponent prime factors to calculate the LCM of 1625 and 1635.

LCM(1625,1635) = 5³ × 13¹ × 3¹ × 109¹
LCM(1625,1635) = 531375