What is the Least Common Multiple of 7348 and 7361?

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 7348 and 7361 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7348 and 7361, than apply into the LCM equation.

GCF(7348,7361) = 1
LCM(7348,7361) = ( 7348 × 7361) / 1
LCM(7348,7361) = 54088628 / 1
LCM(7348,7361) = 54088628

Least Common Multiple (LCM) of 7348 and 7361 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7348 and 7361. First we will calculate the prime factors of 7348 and 7361.

Prime Factorization of 7348

Prime Factorization of 7361

Now multiplying the highest exponent prime factors to calculate the LCM of 7348 and 7361.

LCM(7348,7361) = 2² × 11¹ × 167¹ × 17¹ × 433¹
LCM(7348,7361) = 54088628