What is the Least Common Multiple of 98331 and 98346?

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 98331 and 98346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98331 and 98346, than apply into the LCM equation.

GCF(98331,98346) = 3
LCM(98331,98346) = ( 98331 × 98346) / 3
LCM(98331,98346) = 9670460526 / 3
LCM(98331,98346) = 3223486842

Least Common Multiple (LCM) of 98331 and 98346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98331 and 98346. First we will calculate the prime factors of 98331 and 98346.

Prime Factorization of 98331

Prime Factorization of 98346

Now multiplying the highest exponent prime factors to calculate the LCM of 98331 and 98346.

LCM(98331,98346) = 3¹ × 73¹ × 449¹ × 2¹ × 37¹ × 443¹
LCM(98331,98346) = 3223486842