What is the Least Common Multiple of 45355 and 45375?

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 45355 and 45375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45355 and 45375, than apply into the LCM equation.

GCF(45355,45375) = 5
LCM(45355,45375) = ( 45355 × 45375) / 5
LCM(45355,45375) = 2057983125 / 5
LCM(45355,45375) = 411596625

Least Common Multiple (LCM) of 45355 and 45375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45355 and 45375. First we will calculate the prime factors of 45355 and 45375.

Prime Factorization of 45355

Prime Factorization of 45375

Now multiplying the highest exponent prime factors to calculate the LCM of 45355 and 45375.

LCM(45355,45375) = 5³ × 47¹ × 193¹ × 3¹ × 11²
LCM(45355,45375) = 411596625