What is the Least Common Multiple of 69846 and 69864?

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 69846 and 69864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69846 and 69864, than apply into the LCM equation.

GCF(69846,69864) = 6
LCM(69846,69864) = ( 69846 × 69864) / 6
LCM(69846,69864) = 4879720944 / 6
LCM(69846,69864) = 813286824

Least Common Multiple (LCM) of 69846 and 69864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69846 and 69864. First we will calculate the prime factors of 69846 and 69864.

Prime Factorization of 69846

Prime Factorization of 69864

Now multiplying the highest exponent prime factors to calculate the LCM of 69846 and 69864.

LCM(69846,69864) = 2³ × 3¹ × 7¹ × 1663¹ × 41¹ × 71¹
LCM(69846,69864) = 813286824