What is the Least Common Multiple of 20342 and 20357?

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 20357 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 20357, than apply into the LCM equation.

GCF(20342,20357) = 1
LCM(20342,20357) = ( 20342 × 20357) / 1
LCM(20342,20357) = 414102094 / 1
LCM(20342,20357) = 414102094

Least Common Multiple (LCM) of 20342 and 20357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20342 and 20357. First we will calculate the prime factors of 20342 and 20357.

Prime Factorization of 20342

Prime Factorization of 20357

Now multiplying the highest exponent prime factors to calculate the LCM of 20342 and 20357.

LCM(20342,20357) = 2¹ × 7¹ × 1453¹ × 20357¹
LCM(20342,20357) = 414102094