What is the Least Common Multiple of 78117 and 78126?

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 78117 and 78126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78117 and 78126, than apply into the LCM equation.

GCF(78117,78126) = 3
LCM(78117,78126) = ( 78117 × 78126) / 3
LCM(78117,78126) = 6102968742 / 3
LCM(78117,78126) = 2034322914

Least Common Multiple (LCM) of 78117 and 78126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78117 and 78126. First we will calculate the prime factors of 78117 and 78126.

Prime Factorization of 78117

Prime Factorization of 78126

Now multiplying the highest exponent prime factors to calculate the LCM of 78117 and 78126.

LCM(78117,78126) = 3¹ × 13¹ × 2003¹ × 2¹ × 29¹ × 449¹
LCM(78117,78126) = 2034322914