What is the Least Common Multiple of 78909 and 78923?

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 78909 and 78923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78909 and 78923, than apply into the LCM equation.

GCF(78909,78923) = 1
LCM(78909,78923) = ( 78909 × 78923) / 1
LCM(78909,78923) = 6227735007 / 1
LCM(78909,78923) = 6227735007

Least Common Multiple (LCM) of 78909 and 78923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78909 and 78923. First we will calculate the prime factors of 78909 and 78923.

Prime Factorization of 78909

Prime Factorization of 78923

Now multiplying the highest exponent prime factors to calculate the LCM of 78909 and 78923.

LCM(78909,78923) = 3¹ × 29¹ × 907¹ × 13² × 467¹
LCM(78909,78923) = 6227735007