What is the Least Common Multiple of 12735 and 12745?

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 12735 and 12745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12735 and 12745, than apply into the LCM equation.

GCF(12735,12745) = 5
LCM(12735,12745) = ( 12735 × 12745) / 5
LCM(12735,12745) = 162307575 / 5
LCM(12735,12745) = 32461515

Least Common Multiple (LCM) of 12735 and 12745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12735 and 12745. First we will calculate the prime factors of 12735 and 12745.

Prime Factorization of 12735

Prime Factorization of 12745

Now multiplying the highest exponent prime factors to calculate the LCM of 12735 and 12745.

LCM(12735,12745) = 3² × 5¹ × 283¹ × 2549¹
LCM(12735,12745) = 32461515