What is the Least Common Multiple of 98396 and 98416?

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 98396 and 98416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98396 and 98416, than apply into the LCM equation.

GCF(98396,98416) = 4
LCM(98396,98416) = ( 98396 × 98416) / 4
LCM(98396,98416) = 9683740736 / 4
LCM(98396,98416) = 2420935184

Least Common Multiple (LCM) of 98396 and 98416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98396 and 98416. First we will calculate the prime factors of 98396 and 98416.

Prime Factorization of 98396

Prime Factorization of 98416

Now multiplying the highest exponent prime factors to calculate the LCM of 98396 and 98416.

LCM(98396,98416) = 2⁴ × 17¹ × 1447¹ × 6151¹
LCM(98396,98416) = 2420935184