What is the Least Common Multiple of 7325 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 7325 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 7325 and 7342, than apply into the LCM equation.

GCF(7325,7342) = 1
LCM(7325,7342) = ( 7325 × 7342) / 1
LCM(7325,7342) = 53780150 / 1
LCM(7325,7342) = 53780150

Least Common Multiple (LCM) of 7325 and 7342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7325 and 7342. First we will calculate the prime factors of 7325 and 7342.

Prime Factorization of 7325

Prime Factorization of 7342

Now multiplying the highest exponent prime factors to calculate the LCM of 7325 and 7342.

LCM(7325,7342) = 5² × 293¹ × 2¹ × 3671¹
LCM(7325,7342) = 53780150