What is the Least Common Multiple of 21457 and 21467?

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 21457 and 21467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21457 and 21467, than apply into the LCM equation.

GCF(21457,21467) = 1
LCM(21457,21467) = ( 21457 × 21467) / 1
LCM(21457,21467) = 460617419 / 1
LCM(21457,21467) = 460617419

Least Common Multiple (LCM) of 21457 and 21467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21457 and 21467. First we will calculate the prime factors of 21457 and 21467.

Prime Factorization of 21457

Prime Factorization of 21467

Now multiplying the highest exponent prime factors to calculate the LCM of 21457 and 21467.

LCM(21457,21467) = 43¹ × 499¹ × 21467¹
LCM(21457,21467) = 460617419