What is the Least Common Multiple of 98346 and 98352?

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 98346 and 98352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98346 and 98352, than apply into the LCM equation.

GCF(98346,98352) = 6
LCM(98346,98352) = ( 98346 × 98352) / 6
LCM(98346,98352) = 9672525792 / 6
LCM(98346,98352) = 1612087632

Least Common Multiple (LCM) of 98346 and 98352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98346 and 98352. First we will calculate the prime factors of 98346 and 98352.

Prime Factorization of 98346

Prime Factorization of 98352

Now multiplying the highest exponent prime factors to calculate the LCM of 98346 and 98352.

LCM(98346,98352) = 2⁴ × 3² × 37¹ × 443¹ × 683¹
LCM(98346,98352) = 1612087632