What is the Least Common Multiple of 7102 and 7113?

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 7102 and 7113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7102 and 7113, than apply into the LCM equation.

GCF(7102,7113) = 1
LCM(7102,7113) = ( 7102 × 7113) / 1
LCM(7102,7113) = 50516526 / 1
LCM(7102,7113) = 50516526

Least Common Multiple (LCM) of 7102 and 7113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7102 and 7113. First we will calculate the prime factors of 7102 and 7113.

Prime Factorization of 7102

Prime Factorization of 7113

Now multiplying the highest exponent prime factors to calculate the LCM of 7102 and 7113.

LCM(7102,7113) = 2¹ × 53¹ × 67¹ × 3¹ × 2371¹
LCM(7102,7113) = 50516526