What is the Least Common Multiple of 21457 and 21477?

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 21477 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 21477, than apply into the LCM equation.

GCF(21457,21477) = 1
LCM(21457,21477) = ( 21457 × 21477) / 1
LCM(21457,21477) = 460831989 / 1
LCM(21457,21477) = 460831989

Least Common Multiple (LCM) of 21457 and 21477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21457 and 21477. First we will calculate the prime factors of 21457 and 21477.

Prime Factorization of 21457

Prime Factorization of 21477

Now multiplying the highest exponent prime factors to calculate the LCM of 21457 and 21477.

LCM(21457,21477) = 43¹ × 499¹ × 3¹ × 7159¹
LCM(21457,21477) = 460831989