What is the Least Common Multiple of 7270 and 7286?

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 7270 and 7286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7270 and 7286, than apply into the LCM equation.

GCF(7270,7286) = 2
LCM(7270,7286) = ( 7270 × 7286) / 2
LCM(7270,7286) = 52969220 / 2
LCM(7270,7286) = 26484610

Least Common Multiple (LCM) of 7270 and 7286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7270 and 7286. First we will calculate the prime factors of 7270 and 7286.

Prime Factorization of 7270

Prime Factorization of 7286

Now multiplying the highest exponent prime factors to calculate the LCM of 7270 and 7286.

LCM(7270,7286) = 2¹ × 5¹ × 727¹ × 3643¹
LCM(7270,7286) = 26484610