What is the Least Common Multiple of 7328 and 7342?

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 7328 and 7342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7328 and 7342, than apply into the LCM equation.

GCF(7328,7342) = 2
LCM(7328,7342) = ( 7328 × 7342) / 2
LCM(7328,7342) = 53802176 / 2
LCM(7328,7342) = 26901088

Least Common Multiple (LCM) of 7328 and 7342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7328 and 7342. First we will calculate the prime factors of 7328 and 7342.

Prime Factorization of 7328

Prime Factorization of 7342

Now multiplying the highest exponent prime factors to calculate the LCM of 7328 and 7342.

LCM(7328,7342) = 2⁵ × 229¹ × 3671¹
LCM(7328,7342) = 26901088