What is the Least Common Multiple of 29135 and 29145?

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 29135 and 29145 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29135 and 29145, than apply into the LCM equation.

GCF(29135,29145) = 5
LCM(29135,29145) = ( 29135 × 29145) / 5
LCM(29135,29145) = 849139575 / 5
LCM(29135,29145) = 169827915

Least Common Multiple (LCM) of 29135 and 29145 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29135 and 29145. First we will calculate the prime factors of 29135 and 29145.

Prime Factorization of 29135

Prime Factorization of 29145

Now multiplying the highest exponent prime factors to calculate the LCM of 29135 and 29145.

LCM(29135,29145) = 5¹ × 5827¹ × 3¹ × 29¹ × 67¹
LCM(29135,29145) = 169827915