What is the Least Common Multiple of 33625 and 33635?

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 33625 and 33635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33625 and 33635, than apply into the LCM equation.

GCF(33625,33635) = 5
LCM(33625,33635) = ( 33625 × 33635) / 5
LCM(33625,33635) = 1130976875 / 5
LCM(33625,33635) = 226195375

Least Common Multiple (LCM) of 33625 and 33635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33625 and 33635. First we will calculate the prime factors of 33625 and 33635.

Prime Factorization of 33625

Prime Factorization of 33635

Now multiplying the highest exponent prime factors to calculate the LCM of 33625 and 33635.

LCM(33625,33635) = 5³ × 269¹ × 7¹ × 31²
LCM(33625,33635) = 226195375