What is the Least Common Multiple of 98417 and 98437?

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 98417 and 98437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98417 and 98437, than apply into the LCM equation.

GCF(98417,98437) = 1
LCM(98417,98437) = ( 98417 × 98437) / 1
LCM(98417,98437) = 9687874229 / 1
LCM(98417,98437) = 9687874229

Least Common Multiple (LCM) of 98417 and 98437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98417 and 98437. First we will calculate the prime factors of 98417 and 98437.

Prime Factorization of 98417

Prime Factorization of 98437

Now multiplying the highest exponent prime factors to calculate the LCM of 98417 and 98437.

LCM(98417,98437) = 11¹ × 23¹ × 389¹ × 173¹ × 569¹
LCM(98417,98437) = 9687874229