What is the Least Common Multiple of 78110 and 78115?

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 78115 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 78115, than apply into the LCM equation.

GCF(78110,78115) = 5
LCM(78110,78115) = ( 78110 × 78115) / 5
LCM(78110,78115) = 6101562650 / 5
LCM(78110,78115) = 1220312530

Least Common Multiple (LCM) of 78110 and 78115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78110 and 78115. First we will calculate the prime factors of 78110 and 78115.

Prime Factorization of 78110

Prime Factorization of 78115

Now multiplying the highest exponent prime factors to calculate the LCM of 78110 and 78115.

LCM(78110,78115) = 2¹ × 5¹ × 73¹ × 107¹ × 17¹ × 919¹
LCM(78110,78115) = 1220312530