What is the Least Common Multiple of 7105 and 7115?

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 7105 and 7115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7105 and 7115, than apply into the LCM equation.

GCF(7105,7115) = 5
LCM(7105,7115) = ( 7105 × 7115) / 5
LCM(7105,7115) = 50552075 / 5
LCM(7105,7115) = 10110415

Least Common Multiple (LCM) of 7105 and 7115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7105 and 7115. First we will calculate the prime factors of 7105 and 7115.

Prime Factorization of 7105

Prime Factorization of 7115

Now multiplying the highest exponent prime factors to calculate the LCM of 7105 and 7115.

LCM(7105,7115) = 5¹ × 7² × 29¹ × 1423¹
LCM(7105,7115) = 10110415