What is the Least Common Multiple of 98864 and 98868?

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 98864 and 98868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98864 and 98868, than apply into the LCM equation.

GCF(98864,98868) = 4
LCM(98864,98868) = ( 98864 × 98868) / 4
LCM(98864,98868) = 9774485952 / 4
LCM(98864,98868) = 2443621488

Least Common Multiple (LCM) of 98864 and 98868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98864 and 98868. First we will calculate the prime factors of 98864 and 98868.

Prime Factorization of 98864

Prime Factorization of 98868

Now multiplying the highest exponent prime factors to calculate the LCM of 98864 and 98868.

LCM(98864,98868) = 2⁴ × 37¹ × 167¹ × 3¹ × 7¹ × 11¹ × 107¹
LCM(98864,98868) = 2443621488