What is the Least Common Multiple of 98908 and 98913?

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 98908 and 98913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98908 and 98913, than apply into the LCM equation.

GCF(98908,98913) = 1
LCM(98908,98913) = ( 98908 × 98913) / 1
LCM(98908,98913) = 9783287004 / 1
LCM(98908,98913) = 9783287004

Least Common Multiple (LCM) of 98908 and 98913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98908 and 98913. First we will calculate the prime factors of 98908 and 98913.

Prime Factorization of 98908

Prime Factorization of 98913

Now multiplying the highest exponent prime factors to calculate the LCM of 98908 and 98913.

LCM(98908,98913) = 2² × 79¹ × 313¹ × 3¹ × 32971¹
LCM(98908,98913) = 9783287004