What is the Least Common Multiple of 98850 and 98862?

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 98850 and 98862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98850 and 98862, than apply into the LCM equation.

GCF(98850,98862) = 6
LCM(98850,98862) = ( 98850 × 98862) / 6
LCM(98850,98862) = 9772508700 / 6
LCM(98850,98862) = 1628751450

Least Common Multiple (LCM) of 98850 and 98862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98850 and 98862. First we will calculate the prime factors of 98850 and 98862.

Prime Factorization of 98850

Prime Factorization of 98862

Now multiplying the highest exponent prime factors to calculate the LCM of 98850 and 98862.

LCM(98850,98862) = 2¹ × 3¹ × 5² × 659¹ × 16477¹
LCM(98850,98862) = 1628751450