What is the Least Common Multiple of 1625 and 1631?

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 1631 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 1631, than apply into the LCM equation.

GCF(1625,1631) = 1
LCM(1625,1631) = ( 1625 × 1631) / 1
LCM(1625,1631) = 2650375 / 1
LCM(1625,1631) = 2650375

Least Common Multiple (LCM) of 1625 and 1631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1625 and 1631. First we will calculate the prime factors of 1625 and 1631.

Prime Factorization of 1625

Prime Factorization of 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 1625 and 1631.

LCM(1625,1631) = 5³ × 13¹ × 7¹ × 233¹
LCM(1625,1631) = 2650375