What is the Least Common Multiple of 69759 and 69768?

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 69768 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 69768, than apply into the LCM equation.

GCF(69759,69768) = 9
LCM(69759,69768) = ( 69759 × 69768) / 9
LCM(69759,69768) = 4866945912 / 9
LCM(69759,69768) = 540771768

Least Common Multiple (LCM) of 69759 and 69768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69759 and 69768. First we will calculate the prime factors of 69759 and 69768.

Prime Factorization of 69759

Prime Factorization of 69768

Now multiplying the highest exponent prime factors to calculate the LCM of 69759 and 69768.

LCM(69759,69768) = 3³ × 23¹ × 337¹ × 2³ × 17¹ × 19¹
LCM(69759,69768) = 540771768