What is the Least Common Multiple of 98919 and 98937?

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 98919 and 98937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98919 and 98937, than apply into the LCM equation.

GCF(98919,98937) = 9
LCM(98919,98937) = ( 98919 × 98937) / 9
LCM(98919,98937) = 9786749103 / 9
LCM(98919,98937) = 1087416567

Least Common Multiple (LCM) of 98919 and 98937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98919 and 98937. First we will calculate the prime factors of 98919 and 98937.

Prime Factorization of 98919

Prime Factorization of 98937

Now multiplying the highest exponent prime factors to calculate the LCM of 98919 and 98937.

LCM(98919,98937) = 3² × 29¹ × 379¹ × 10993¹
LCM(98919,98937) = 1087416567