What is the Least Common Multiple of 7287 and 7294?

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 7287 and 7294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7287 and 7294, than apply into the LCM equation.

GCF(7287,7294) = 7
LCM(7287,7294) = ( 7287 × 7294) / 7
LCM(7287,7294) = 53151378 / 7
LCM(7287,7294) = 7593054

Least Common Multiple (LCM) of 7287 and 7294 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7287 and 7294. First we will calculate the prime factors of 7287 and 7294.

Prime Factorization of 7287

Prime Factorization of 7294

Now multiplying the highest exponent prime factors to calculate the LCM of 7287 and 7294.

LCM(7287,7294) = 3¹ × 7¹ × 347¹ × 2¹ × 521¹
LCM(7287,7294) = 7593054