What is the Least Common Multiple of 74378 and 74385?

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 74378 and 74385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74378 and 74385, than apply into the LCM equation.

GCF(74378,74385) = 1
LCM(74378,74385) = ( 74378 × 74385) / 1
LCM(74378,74385) = 5532607530 / 1
LCM(74378,74385) = 5532607530

Least Common Multiple (LCM) of 74378 and 74385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74378 and 74385. First we will calculate the prime factors of 74378 and 74385.

Prime Factorization of 74378

Prime Factorization of 74385

Now multiplying the highest exponent prime factors to calculate the LCM of 74378 and 74385.

LCM(74378,74385) = 2¹ × 37189¹ × 3³ × 5¹ × 19¹ × 29¹
LCM(74378,74385) = 5532607530