What is the Least Common Multiple of 20342 and 20353?

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 20342 and 20353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20342 and 20353, than apply into the LCM equation.

GCF(20342,20353) = 1
LCM(20342,20353) = ( 20342 × 20353) / 1
LCM(20342,20353) = 414020726 / 1
LCM(20342,20353) = 414020726

Least Common Multiple (LCM) of 20342 and 20353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20342 and 20353. First we will calculate the prime factors of 20342 and 20353.

Prime Factorization of 20342

Prime Factorization of 20353

Now multiplying the highest exponent prime factors to calculate the LCM of 20342 and 20353.

LCM(20342,20353) = 2¹ × 7¹ × 1453¹ × 20353¹
LCM(20342,20353) = 414020726