What is the Least Common Multiple of 75358 and 75365?

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 75358 and 75365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75358 and 75365, than apply into the LCM equation.

GCF(75358,75365) = 1
LCM(75358,75365) = ( 75358 × 75365) / 1
LCM(75358,75365) = 5679355670 / 1
LCM(75358,75365) = 5679355670

Least Common Multiple (LCM) of 75358 and 75365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75358 and 75365. First we will calculate the prime factors of 75358 and 75365.

Prime Factorization of 75358

Prime Factorization of 75365

Now multiplying the highest exponent prime factors to calculate the LCM of 75358 and 75365.

LCM(75358,75365) = 2¹ × 41¹ × 919¹ × 5¹ × 15073¹
LCM(75358,75365) = 5679355670