What is the Least Common Multiple of 98794 and 98810?

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 98794 and 98810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98794 and 98810, than apply into the LCM equation.

GCF(98794,98810) = 2
LCM(98794,98810) = ( 98794 × 98810) / 2
LCM(98794,98810) = 9761835140 / 2
LCM(98794,98810) = 4880917570

Least Common Multiple (LCM) of 98794 and 98810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98794 and 98810. First we will calculate the prime factors of 98794 and 98810.

Prime Factorization of 98794

Prime Factorization of 98810

Now multiplying the highest exponent prime factors to calculate the LCM of 98794 and 98810.

LCM(98794,98810) = 2¹ × 47¹ × 1051¹ × 5¹ × 41¹ × 241¹
LCM(98794,98810) = 4880917570