What is the Least Common Multiple of 98412 and 98417?

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 98412 and 98417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98412 and 98417, than apply into the LCM equation.

GCF(98412,98417) = 1
LCM(98412,98417) = ( 98412 × 98417) / 1
LCM(98412,98417) = 9685413804 / 1
LCM(98412,98417) = 9685413804

Least Common Multiple (LCM) of 98412 and 98417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98412 and 98417. First we will calculate the prime factors of 98412 and 98417.

Prime Factorization of 98412

Prime Factorization of 98417

Now multiplying the highest exponent prime factors to calculate the LCM of 98412 and 98417.

LCM(98412,98417) = 2² × 3¹ × 59¹ × 139¹ × 11¹ × 23¹ × 389¹
LCM(98412,98417) = 9685413804