What is the Least Common Multiple of 71625 and 71640?

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 71625 and 71640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71625 and 71640, than apply into the LCM equation.

GCF(71625,71640) = 15
LCM(71625,71640) = ( 71625 × 71640) / 15
LCM(71625,71640) = 5131215000 / 15
LCM(71625,71640) = 342081000

Least Common Multiple (LCM) of 71625 and 71640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71625 and 71640. First we will calculate the prime factors of 71625 and 71640.

Prime Factorization of 71625

Prime Factorization of 71640

Now multiplying the highest exponent prime factors to calculate the LCM of 71625 and 71640.

LCM(71625,71640) = 3² × 5³ × 191¹ × 2³ × 199¹
LCM(71625,71640) = 342081000