What is the Least Common Multiple of 21346 and 21359?

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 21346 and 21359 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21346 and 21359, than apply into the LCM equation.

GCF(21346,21359) = 13
LCM(21346,21359) = ( 21346 × 21359) / 13
LCM(21346,21359) = 455929214 / 13
LCM(21346,21359) = 35071478

Least Common Multiple (LCM) of 21346 and 21359 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21346 and 21359. First we will calculate the prime factors of 21346 and 21359.

Prime Factorization of 21346

Prime Factorization of 21359

Now multiplying the highest exponent prime factors to calculate the LCM of 21346 and 21359.

LCM(21346,21359) = 2¹ × 13¹ × 821¹ × 31¹ × 53¹
LCM(21346,21359) = 35071478