What is the Least Common Multiple of 84375 and 84385?

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 84375 and 84385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84375 and 84385, than apply into the LCM equation.

GCF(84375,84385) = 5
LCM(84375,84385) = ( 84375 × 84385) / 5
LCM(84375,84385) = 7119984375 / 5
LCM(84375,84385) = 1423996875

Least Common Multiple (LCM) of 84375 and 84385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84375 and 84385. First we will calculate the prime factors of 84375 and 84385.

Prime Factorization of 84375

Prime Factorization of 84385

Now multiplying the highest exponent prime factors to calculate the LCM of 84375 and 84385.

LCM(84375,84385) = 3³ × 5⁵ × 7¹ × 2411¹
LCM(84375,84385) = 1423996875