What is the Least Common Multiple of 7105 and 7123?

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 7123 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 7123, than apply into the LCM equation.

GCF(7105,7123) = 1
LCM(7105,7123) = ( 7105 × 7123) / 1
LCM(7105,7123) = 50608915 / 1
LCM(7105,7123) = 50608915

Least Common Multiple (LCM) of 7105 and 7123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7105 and 7123. First we will calculate the prime factors of 7105 and 7123.

Prime Factorization of 7105

Prime Factorization of 7123

Now multiplying the highest exponent prime factors to calculate the LCM of 7105 and 7123.

LCM(7105,7123) = 5¹ × 7² × 29¹ × 17¹ × 419¹
LCM(7105,7123) = 50608915