What is the Least Common Multiple of 7338 and 7347?

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 7338 and 7347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7338 and 7347, than apply into the LCM equation.

GCF(7338,7347) = 3
LCM(7338,7347) = ( 7338 × 7347) / 3
LCM(7338,7347) = 53912286 / 3
LCM(7338,7347) = 17970762

Least Common Multiple (LCM) of 7338 and 7347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7338 and 7347. First we will calculate the prime factors of 7338 and 7347.

Prime Factorization of 7338

Prime Factorization of 7347

Now multiplying the highest exponent prime factors to calculate the LCM of 7338 and 7347.

LCM(7338,7347) = 2¹ × 3¹ × 1223¹ × 31¹ × 79¹
LCM(7338,7347) = 17970762