What is the Least Common Multiple of 41625 and 41640?

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 41625 and 41640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41625 and 41640, than apply into the LCM equation.

GCF(41625,41640) = 15
LCM(41625,41640) = ( 41625 × 41640) / 15
LCM(41625,41640) = 1733265000 / 15
LCM(41625,41640) = 115551000

Least Common Multiple (LCM) of 41625 and 41640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41625 and 41640. First we will calculate the prime factors of 41625 and 41640.

Prime Factorization of 41625

Prime Factorization of 41640

Now multiplying the highest exponent prime factors to calculate the LCM of 41625 and 41640.

LCM(41625,41640) = 3² × 5³ × 37¹ × 2³ × 347¹
LCM(41625,41640) = 115551000