What is the Least Common Multiple of 45735 and 45745?

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 45735 and 45745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45735 and 45745, than apply into the LCM equation.

GCF(45735,45745) = 5
LCM(45735,45745) = ( 45735 × 45745) / 5
LCM(45735,45745) = 2092147575 / 5
LCM(45735,45745) = 418429515

Least Common Multiple (LCM) of 45735 and 45745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45735 and 45745. First we will calculate the prime factors of 45735 and 45745.

Prime Factorization of 45735

Prime Factorization of 45745

Now multiplying the highest exponent prime factors to calculate the LCM of 45735 and 45745.

LCM(45735,45745) = 3¹ × 5¹ × 3049¹ × 7¹ × 1307¹
LCM(45735,45745) = 418429515