What is the Least Common Multiple of 41625 and 41645?

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 41645 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 41645, than apply into the LCM equation.

GCF(41625,41645) = 5
LCM(41625,41645) = ( 41625 × 41645) / 5
LCM(41625,41645) = 1733473125 / 5
LCM(41625,41645) = 346694625

Least Common Multiple (LCM) of 41625 and 41645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41625 and 41645. First we will calculate the prime factors of 41625 and 41645.

Prime Factorization of 41625

Prime Factorization of 41645

Now multiplying the highest exponent prime factors to calculate the LCM of 41625 and 41645.

LCM(41625,41645) = 3² × 5³ × 37¹ × 8329¹
LCM(41625,41645) = 346694625