What is the Least Common Multiple of 22735 and 22745?

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 22735 and 22745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22735 and 22745, than apply into the LCM equation.

GCF(22735,22745) = 5
LCM(22735,22745) = ( 22735 × 22745) / 5
LCM(22735,22745) = 517107575 / 5
LCM(22735,22745) = 103421515

Least Common Multiple (LCM) of 22735 and 22745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22735 and 22745. First we will calculate the prime factors of 22735 and 22745.

Prime Factorization of 22735

Prime Factorization of 22745

Now multiplying the highest exponent prime factors to calculate the LCM of 22735 and 22745.

LCM(22735,22745) = 5¹ × 4547¹ × 4549¹
LCM(22735,22745) = 103421515