What is the Least Common Multiple of 98908 and 98918?

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 98918 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 98918, than apply into the LCM equation.

GCF(98908,98918) = 2
LCM(98908,98918) = ( 98908 × 98918) / 2
LCM(98908,98918) = 9783781544 / 2
LCM(98908,98918) = 4891890772

Least Common Multiple (LCM) of 98908 and 98918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98908 and 98918. First we will calculate the prime factors of 98908 and 98918.

Prime Factorization of 98908

Prime Factorization of 98918

Now multiplying the highest exponent prime factors to calculate the LCM of 98908 and 98918.

LCM(98908,98918) = 2² × 79¹ × 313¹ × 49459¹
LCM(98908,98918) = 4891890772