What is the Least Common Multiple of 98375 and 98385?

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 98375 and 98385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98375 and 98385, than apply into the LCM equation.

GCF(98375,98385) = 5
LCM(98375,98385) = ( 98375 × 98385) / 5
LCM(98375,98385) = 9678624375 / 5
LCM(98375,98385) = 1935724875

Least Common Multiple (LCM) of 98375 and 98385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98375 and 98385. First we will calculate the prime factors of 98375 and 98385.

Prime Factorization of 98375

Prime Factorization of 98385

Now multiplying the highest exponent prime factors to calculate the LCM of 98375 and 98385.

LCM(98375,98385) = 5³ × 787¹ × 3¹ × 7¹ × 937¹
LCM(98375,98385) = 1935724875