What is the Least Common Multiple of 69840 and 69852?

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 69840 and 69852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69840 and 69852, than apply into the LCM equation.

GCF(69840,69852) = 12
LCM(69840,69852) = ( 69840 × 69852) / 12
LCM(69840,69852) = 4878463680 / 12
LCM(69840,69852) = 406538640

Least Common Multiple (LCM) of 69840 and 69852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69840 and 69852. First we will calculate the prime factors of 69840 and 69852.

Prime Factorization of 69840

Prime Factorization of 69852

Now multiplying the highest exponent prime factors to calculate the LCM of 69840 and 69852.

LCM(69840,69852) = 2⁴ × 3² × 5¹ × 97¹ × 5821¹
LCM(69840,69852) = 406538640