What is the Least Common Multiple of 32105 and 32115?

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 32105 and 32115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32105 and 32115, than apply into the LCM equation.

GCF(32105,32115) = 5
LCM(32105,32115) = ( 32105 × 32115) / 5
LCM(32105,32115) = 1031052075 / 5
LCM(32105,32115) = 206210415

Least Common Multiple (LCM) of 32105 and 32115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32105 and 32115. First we will calculate the prime factors of 32105 and 32115.

Prime Factorization of 32105

Prime Factorization of 32115

Now multiplying the highest exponent prime factors to calculate the LCM of 32105 and 32115.

LCM(32105,32115) = 5¹ × 6421¹ × 3¹ × 2141¹
LCM(32105,32115) = 206210415