What is the Least Common Multiple of 7257 and 7266?

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 7257 and 7266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7257 and 7266, than apply into the LCM equation.

GCF(7257,7266) = 3
LCM(7257,7266) = ( 7257 × 7266) / 3
LCM(7257,7266) = 52729362 / 3
LCM(7257,7266) = 17576454

Least Common Multiple (LCM) of 7257 and 7266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7257 and 7266. First we will calculate the prime factors of 7257 and 7266.

Prime Factorization of 7257

Prime Factorization of 7266

Now multiplying the highest exponent prime factors to calculate the LCM of 7257 and 7266.

LCM(7257,7266) = 3¹ × 41¹ × 59¹ × 2¹ × 7¹ × 173¹
LCM(7257,7266) = 17576454