What is the Least Common Multiple of 78765 and 78771?

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 78765 and 78771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78765 and 78771, than apply into the LCM equation.

GCF(78765,78771) = 3
LCM(78765,78771) = ( 78765 × 78771) / 3
LCM(78765,78771) = 6204397815 / 3
LCM(78765,78771) = 2068132605

Least Common Multiple (LCM) of 78765 and 78771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78765 and 78771. First we will calculate the prime factors of 78765 and 78771.

Prime Factorization of 78765

Prime Factorization of 78771

Now multiplying the highest exponent prime factors to calculate the LCM of 78765 and 78771.

LCM(78765,78771) = 3¹ × 5¹ × 59¹ × 89¹ × 7¹ × 11² × 31¹
LCM(78765,78771) = 2068132605