What is the Least Common Multiple of 78660 and 78667?

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 78660 and 78667 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78660 and 78667, than apply into the LCM equation.

GCF(78660,78667) = 1
LCM(78660,78667) = ( 78660 × 78667) / 1
LCM(78660,78667) = 6187946220 / 1
LCM(78660,78667) = 6187946220

Least Common Multiple (LCM) of 78660 and 78667 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78660 and 78667. First we will calculate the prime factors of 78660 and 78667.

Prime Factorization of 78660

Prime Factorization of 78667

Now multiplying the highest exponent prime factors to calculate the LCM of 78660 and 78667.

LCM(78660,78667) = 2² × 3² × 5¹ × 19¹ × 23¹ × 97¹ × 811¹
LCM(78660,78667) = 6187946220