What is the Least Common Multiple of 98293 and 98306?

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 98293 and 98306 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98293 and 98306, than apply into the LCM equation.

GCF(98293,98306) = 13
LCM(98293,98306) = ( 98293 × 98306) / 13
LCM(98293,98306) = 9662791658 / 13
LCM(98293,98306) = 743291666

Least Common Multiple (LCM) of 98293 and 98306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98293 and 98306. First we will calculate the prime factors of 98293 and 98306.

Prime Factorization of 98293

Prime Factorization of 98306

Now multiplying the highest exponent prime factors to calculate the LCM of 98293 and 98306.

LCM(98293,98306) = 13¹ × 7561¹ × 2¹ × 19¹ × 199¹
LCM(98293,98306) = 743291666