What is the Least Common Multiple of 78660 and 78669?

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 78669 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 78669, than apply into the LCM equation.

GCF(78660,78669) = 9
LCM(78660,78669) = ( 78660 × 78669) / 9
LCM(78660,78669) = 6188103540 / 9
LCM(78660,78669) = 687567060

Least Common Multiple (LCM) of 78660 and 78669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78660 and 78669. First we will calculate the prime factors of 78660 and 78669.

Prime Factorization of 78660

Prime Factorization of 78669

Now multiplying the highest exponent prime factors to calculate the LCM of 78660 and 78669.

LCM(78660,78669) = 2² × 3² × 5¹ × 19¹ × 23¹ × 8741¹
LCM(78660,78669) = 687567060