What is the Least Common Multiple of 69759 and 69777?

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 69759 and 69777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69759 and 69777, than apply into the LCM equation.

GCF(69759,69777) = 9
LCM(69759,69777) = ( 69759 × 69777) / 9
LCM(69759,69777) = 4867573743 / 9
LCM(69759,69777) = 540841527

Least Common Multiple (LCM) of 69759 and 69777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69759 and 69777. First we will calculate the prime factors of 69759 and 69777.

Prime Factorization of 69759

Prime Factorization of 69777

Now multiplying the highest exponent prime factors to calculate the LCM of 69759 and 69777.

LCM(69759,69777) = 3² × 23¹ × 337¹ × 7753¹
LCM(69759,69777) = 540841527