What is the Least Common Multiple of 7381 and 7397?

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 7381 and 7397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7381 and 7397, than apply into the LCM equation.

GCF(7381,7397) = 1
LCM(7381,7397) = ( 7381 × 7397) / 1
LCM(7381,7397) = 54597257 / 1
LCM(7381,7397) = 54597257

Least Common Multiple (LCM) of 7381 and 7397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7381 and 7397. First we will calculate the prime factors of 7381 and 7397.

Prime Factorization of 7381

Prime Factorization of 7397

Now multiplying the highest exponent prime factors to calculate the LCM of 7381 and 7397.

LCM(7381,7397) = 11² × 61¹ × 13¹ × 569¹
LCM(7381,7397) = 54597257