What is the Least Common Multiple of 98074 and 98087?

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 98074 and 98087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98074 and 98087, than apply into the LCM equation.

GCF(98074,98087) = 1
LCM(98074,98087) = ( 98074 × 98087) / 1
LCM(98074,98087) = 9619784438 / 1
LCM(98074,98087) = 9619784438

Least Common Multiple (LCM) of 98074 and 98087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98074 and 98087. First we will calculate the prime factors of 98074 and 98087.

Prime Factorization of 98074

Prime Factorization of 98087

Now multiplying the highest exponent prime factors to calculate the LCM of 98074 and 98087.

LCM(98074,98087) = 2¹ × 49037¹ × 11¹ × 37¹ × 241¹
LCM(98074,98087) = 9619784438