What is the Least Common Multiple of 98878 and 98882?

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 98878 and 98882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98878 and 98882, than apply into the LCM equation.

GCF(98878,98882) = 2
LCM(98878,98882) = ( 98878 × 98882) / 2
LCM(98878,98882) = 9777254396 / 2
LCM(98878,98882) = 4888627198

Least Common Multiple (LCM) of 98878 and 98882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98878 and 98882. First we will calculate the prime factors of 98878 and 98882.

Prime Factorization of 98878

Prime Factorization of 98882

Now multiplying the highest exponent prime factors to calculate the LCM of 98878 and 98882.

LCM(98878,98882) = 2¹ × 13¹ × 3803¹ × 7² × 1009¹
LCM(98878,98882) = 4888627198