What is the Least Common Multiple of 98814 and 98828?

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 98814 and 98828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98814 and 98828, than apply into the LCM equation.

GCF(98814,98828) = 2
LCM(98814,98828) = ( 98814 × 98828) / 2
LCM(98814,98828) = 9765589992 / 2
LCM(98814,98828) = 4882794996

Least Common Multiple (LCM) of 98814 and 98828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98814 and 98828. First we will calculate the prime factors of 98814 and 98828.

Prime Factorization of 98814

Prime Factorization of 98828

Now multiplying the highest exponent prime factors to calculate the LCM of 98814 and 98828.

LCM(98814,98828) = 2² × 3¹ × 43¹ × 383¹ × 31¹ × 797¹
LCM(98814,98828) = 4882794996