What is the Least Common Multiple of 98868 and 98888?

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 98868 and 98888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98868 and 98888, than apply into the LCM equation.

GCF(98868,98888) = 4
LCM(98868,98888) = ( 98868 × 98888) / 4
LCM(98868,98888) = 9776858784 / 4
LCM(98868,98888) = 2444214696

Least Common Multiple (LCM) of 98868 and 98888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98868 and 98888. First we will calculate the prime factors of 98868 and 98888.

Prime Factorization of 98868

Prime Factorization of 98888

Now multiplying the highest exponent prime factors to calculate the LCM of 98868 and 98888.

LCM(98868,98888) = 2³ × 3¹ × 7¹ × 11¹ × 107¹ × 47¹ × 263¹
LCM(98868,98888) = 2444214696