What is the Least Common Multiple of 78909 and 78921?

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 78921 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 78921, than apply into the LCM equation.

GCF(78909,78921) = 3
LCM(78909,78921) = ( 78909 × 78921) / 3
LCM(78909,78921) = 6227577189 / 3
LCM(78909,78921) = 2075859063

Least Common Multiple (LCM) of 78909 and 78921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78909 and 78921. First we will calculate the prime factors of 78909 and 78921.

Prime Factorization of 78909

Prime Factorization of 78921

Now multiplying the highest exponent prime factors to calculate the LCM of 78909 and 78921.

LCM(78909,78921) = 3³ × 29¹ × 907¹ × 37¹ × 79¹
LCM(78909,78921) = 2075859063