What is the Least Common Multiple of 9919 and 9937?

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 9919 and 9937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9919 and 9937, than apply into the LCM equation.

GCF(9919,9937) = 1
LCM(9919,9937) = ( 9919 × 9937) / 1
LCM(9919,9937) = 98565103 / 1
LCM(9919,9937) = 98565103

Least Common Multiple (LCM) of 9919 and 9937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9919 and 9937. First we will calculate the prime factors of 9919 and 9937.

Prime Factorization of 9919

Prime Factorization of 9937

Now multiplying the highest exponent prime factors to calculate the LCM of 9919 and 9937.

LCM(9919,9937) = 7¹ × 13¹ × 109¹ × 19¹ × 523¹
LCM(9919,9937) = 98565103