What is the Least Common Multiple of 98457 and 98467?

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 98457 and 98467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98457 and 98467, than apply into the LCM equation.

GCF(98457,98467) = 1
LCM(98457,98467) = ( 98457 × 98467) / 1
LCM(98457,98467) = 9694765419 / 1
LCM(98457,98467) = 9694765419

Least Common Multiple (LCM) of 98457 and 98467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98457 and 98467. First we will calculate the prime factors of 98457 and 98467.

Prime Factorization of 98457

Prime Factorization of 98467

Now multiplying the highest exponent prime factors to calculate the LCM of 98457 and 98467.

LCM(98457,98467) = 3¹ × 37¹ × 887¹ × 98467¹
LCM(98457,98467) = 9694765419