What is the Least Common Multiple of 78771 and 78780?

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 78771 and 78780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78771 and 78780, than apply into the LCM equation.

GCF(78771,78780) = 3
LCM(78771,78780) = ( 78771 × 78780) / 3
LCM(78771,78780) = 6205579380 / 3
LCM(78771,78780) = 2068526460

Least Common Multiple (LCM) of 78771 and 78780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78771 and 78780. First we will calculate the prime factors of 78771 and 78780.

Prime Factorization of 78771

Prime Factorization of 78780

Now multiplying the highest exponent prime factors to calculate the LCM of 78771 and 78780.

LCM(78771,78780) = 3¹ × 7¹ × 11² × 31¹ × 2² × 5¹ × 13¹ × 101¹
LCM(78771,78780) = 2068526460