What is the Least Common Multiple of 78110 and 78117?

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 78110 and 78117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78110 and 78117, than apply into the LCM equation.

GCF(78110,78117) = 1
LCM(78110,78117) = ( 78110 × 78117) / 1
LCM(78110,78117) = 6101718870 / 1
LCM(78110,78117) = 6101718870

Least Common Multiple (LCM) of 78110 and 78117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78110 and 78117. First we will calculate the prime factors of 78110 and 78117.

Prime Factorization of 78110

Prime Factorization of 78117

Now multiplying the highest exponent prime factors to calculate the LCM of 78110 and 78117.

LCM(78110,78117) = 2¹ × 5¹ × 73¹ × 107¹ × 3¹ × 13¹ × 2003¹
LCM(78110,78117) = 6101718870