What is the Least Common Multiple of 98090 and 98102?

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 98090 and 98102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98090 and 98102, than apply into the LCM equation.

GCF(98090,98102) = 2
LCM(98090,98102) = ( 98090 × 98102) / 2
LCM(98090,98102) = 9622825180 / 2
LCM(98090,98102) = 4811412590

Least Common Multiple (LCM) of 98090 and 98102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98090 and 98102. First we will calculate the prime factors of 98090 and 98102.

Prime Factorization of 98090

Prime Factorization of 98102

Now multiplying the highest exponent prime factors to calculate the LCM of 98090 and 98102.

LCM(98090,98102) = 2¹ × 5¹ × 17¹ × 577¹ × 181¹ × 271¹
LCM(98090,98102) = 4811412590