What is the Least Common Multiple of 78923 and 78937?

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 78923 and 78937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78923 and 78937, than apply into the LCM equation.

GCF(78923,78937) = 1
LCM(78923,78937) = ( 78923 × 78937) / 1
LCM(78923,78937) = 6229944851 / 1
LCM(78923,78937) = 6229944851

Least Common Multiple (LCM) of 78923 and 78937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78923 and 78937. First we will calculate the prime factors of 78923 and 78937.

Prime Factorization of 78923

Prime Factorization of 78937

Now multiplying the highest exponent prime factors to calculate the LCM of 78923 and 78937.

LCM(78923,78937) = 13² × 467¹ × 193¹ × 409¹
LCM(78923,78937) = 6229944851