What is the Least Common Multiple of 69822 and 69831?

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 69822 and 69831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69822 and 69831, than apply into the LCM equation.

GCF(69822,69831) = 9
LCM(69822,69831) = ( 69822 × 69831) / 9
LCM(69822,69831) = 4875740082 / 9
LCM(69822,69831) = 541748898

Least Common Multiple (LCM) of 69822 and 69831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69822 and 69831. First we will calculate the prime factors of 69822 and 69831.

Prime Factorization of 69822

Prime Factorization of 69831

Now multiplying the highest exponent prime factors to calculate the LCM of 69822 and 69831.

LCM(69822,69831) = 2¹ × 3⁴ × 431¹ × 7759¹
LCM(69822,69831) = 541748898