What is the Least Common Multiple of 20344 and 20352?

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 20344 and 20352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20344 and 20352, than apply into the LCM equation.

GCF(20344,20352) = 8
LCM(20344,20352) = ( 20344 × 20352) / 8
LCM(20344,20352) = 414041088 / 8
LCM(20344,20352) = 51755136

Least Common Multiple (LCM) of 20344 and 20352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20344 and 20352. First we will calculate the prime factors of 20344 and 20352.

Prime Factorization of 20344

Prime Factorization of 20352

Now multiplying the highest exponent prime factors to calculate the LCM of 20344 and 20352.

LCM(20344,20352) = 2⁷ × 2543¹ × 3¹ × 53¹
LCM(20344,20352) = 51755136