What is the Least Common Multiple of 96919 and 96937?

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 96919 and 96937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96919 and 96937, than apply into the LCM equation.

GCF(96919,96937) = 1
LCM(96919,96937) = ( 96919 × 96937) / 1
LCM(96919,96937) = 9395037103 / 1
LCM(96919,96937) = 9395037103

Least Common Multiple (LCM) of 96919 and 96937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96919 and 96937. First we will calculate the prime factors of 96919 and 96937.

Prime Factorization of 96919

Prime Factorization of 96937

Now multiplying the highest exponent prime factors to calculate the LCM of 96919 and 96937.

LCM(96919,96937) = 19¹ × 5101¹ × 31¹ × 53¹ × 59¹
LCM(96919,96937) = 9395037103