What is the Least Common Multiple of 75365 and 75371?

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 75365 and 75371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75365 and 75371, than apply into the LCM equation.

GCF(75365,75371) = 1
LCM(75365,75371) = ( 75365 × 75371) / 1
LCM(75365,75371) = 5680335415 / 1
LCM(75365,75371) = 5680335415

Least Common Multiple (LCM) of 75365 and 75371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75365 and 75371. First we will calculate the prime factors of 75365 and 75371.

Prime Factorization of 75365

Prime Factorization of 75371

Now multiplying the highest exponent prime factors to calculate the LCM of 75365 and 75371.

LCM(75365,75371) = 5¹ × 15073¹ × 23¹ × 29¹ × 113¹
LCM(75365,75371) = 5680335415