What is the Least Common Multiple of 98376 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 98376 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 98376 and 98385, than apply into the LCM equation.

GCF(98376,98385) = 3
LCM(98376,98385) = ( 98376 × 98385) / 3
LCM(98376,98385) = 9678722760 / 3
LCM(98376,98385) = 3226240920

Least Common Multiple (LCM) of 98376 and 98385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98376 and 98385. First we will calculate the prime factors of 98376 and 98385.

Prime Factorization of 98376

Prime Factorization of 98385

Now multiplying the highest exponent prime factors to calculate the LCM of 98376 and 98385.

LCM(98376,98385) = 2³ × 3¹ × 4099¹ × 5¹ × 7¹ × 937¹
LCM(98376,98385) = 3226240920