What is the Least Common Multiple of 21459 and 21463?

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 21459 and 21463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21459 and 21463, than apply into the LCM equation.

GCF(21459,21463) = 1
LCM(21459,21463) = ( 21459 × 21463) / 1
LCM(21459,21463) = 460574517 / 1
LCM(21459,21463) = 460574517

Least Common Multiple (LCM) of 21459 and 21463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21459 and 21463. First we will calculate the prime factors of 21459 and 21463.

Prime Factorization of 21459

Prime Factorization of 21463

Now multiplying the highest exponent prime factors to calculate the LCM of 21459 and 21463.

LCM(21459,21463) = 3¹ × 23¹ × 311¹ × 13² × 127¹
LCM(21459,21463) = 460574517