What is the Least Common Multiple of 41608 and 41625?

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 41608 and 41625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41608 and 41625, than apply into the LCM equation.

GCF(41608,41625) = 1
LCM(41608,41625) = ( 41608 × 41625) / 1
LCM(41608,41625) = 1731933000 / 1
LCM(41608,41625) = 1731933000

Least Common Multiple (LCM) of 41608 and 41625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41608 and 41625. First we will calculate the prime factors of 41608 and 41625.

Prime Factorization of 41608

Prime Factorization of 41625

Now multiplying the highest exponent prime factors to calculate the LCM of 41608 and 41625.

LCM(41608,41625) = 2³ × 7¹ × 743¹ × 3² × 5³ × 37¹
LCM(41608,41625) = 1731933000