What is the Least Common Multiple of 69822 and 69840?

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 69840 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 69840, than apply into the LCM equation.

GCF(69822,69840) = 18
LCM(69822,69840) = ( 69822 × 69840) / 18
LCM(69822,69840) = 4876368480 / 18
LCM(69822,69840) = 270909360

Least Common Multiple (LCM) of 69822 and 69840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69822 and 69840. First we will calculate the prime factors of 69822 and 69840.

Prime Factorization of 69822

Prime Factorization of 69840

Now multiplying the highest exponent prime factors to calculate the LCM of 69822 and 69840.

LCM(69822,69840) = 2⁴ × 3⁴ × 431¹ × 5¹ × 97¹
LCM(69822,69840) = 270909360