What is the Least Common Multiple of 98909 and 98915?

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 98909 and 98915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98909 and 98915, than apply into the LCM equation.

GCF(98909,98915) = 1
LCM(98909,98915) = ( 98909 × 98915) / 1
LCM(98909,98915) = 9783583735 / 1
LCM(98909,98915) = 9783583735

Least Common Multiple (LCM) of 98909 and 98915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98909 and 98915. First we will calculate the prime factors of 98909 and 98915.

Prime Factorization of 98909

Prime Factorization of 98915

Now multiplying the highest exponent prime factors to calculate the LCM of 98909 and 98915.

LCM(98909,98915) = 98909¹ × 5¹ × 73¹ × 271¹
LCM(98909,98915) = 9783583735