What is the Least Common Multiple of 78905 and 78910?

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 78905 and 78910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78905 and 78910, than apply into the LCM equation.

GCF(78905,78910) = 5
LCM(78905,78910) = ( 78905 × 78910) / 5
LCM(78905,78910) = 6226393550 / 5
LCM(78905,78910) = 1245278710

Least Common Multiple (LCM) of 78905 and 78910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78905 and 78910. First we will calculate the prime factors of 78905 and 78910.

Prime Factorization of 78905

Prime Factorization of 78910

Now multiplying the highest exponent prime factors to calculate the LCM of 78905 and 78910.

LCM(78905,78910) = 5¹ × 43¹ × 367¹ × 2¹ × 13¹ × 607¹
LCM(78905,78910) = 1245278710