What is the Least Common Multiple of 73369 and 73375?

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 73369 and 73375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73369 and 73375, than apply into the LCM equation.

GCF(73369,73375) = 1
LCM(73369,73375) = ( 73369 × 73375) / 1
LCM(73369,73375) = 5383450375 / 1
LCM(73369,73375) = 5383450375

Least Common Multiple (LCM) of 73369 and 73375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73369 and 73375. First we will calculate the prime factors of 73369 and 73375.

Prime Factorization of 73369

Prime Factorization of 73375

Now multiplying the highest exponent prime factors to calculate the LCM of 73369 and 73375.

LCM(73369,73375) = 73369¹ × 5³ × 587¹
LCM(73369,73375) = 5383450375