What is the Least Common Multiple of 7385 and 7398?

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 7385 and 7398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7385 and 7398, than apply into the LCM equation.

GCF(7385,7398) = 1
LCM(7385,7398) = ( 7385 × 7398) / 1
LCM(7385,7398) = 54634230 / 1
LCM(7385,7398) = 54634230

Least Common Multiple (LCM) of 7385 and 7398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7385 and 7398. First we will calculate the prime factors of 7385 and 7398.

Prime Factorization of 7385

Prime Factorization of 7398

Now multiplying the highest exponent prime factors to calculate the LCM of 7385 and 7398.

LCM(7385,7398) = 5¹ × 7¹ × 211¹ × 2¹ × 3³ × 137¹
LCM(7385,7398) = 54634230