What is the Least Common Multiple of 7130 and 7135?

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 7130 and 7135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7130 and 7135, than apply into the LCM equation.

GCF(7130,7135) = 5
LCM(7130,7135) = ( 7130 × 7135) / 5
LCM(7130,7135) = 50872550 / 5
LCM(7130,7135) = 10174510

Least Common Multiple (LCM) of 7130 and 7135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7130 and 7135. First we will calculate the prime factors of 7130 and 7135.

Prime Factorization of 7130

Prime Factorization of 7135

Now multiplying the highest exponent prime factors to calculate the LCM of 7130 and 7135.

LCM(7130,7135) = 2¹ × 5¹ × 23¹ × 31¹ × 1427¹
LCM(7130,7135) = 10174510