What is the Least Common Multiple of 21517 and 21537?

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 21517 and 21537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21517 and 21537, than apply into the LCM equation.

GCF(21517,21537) = 1
LCM(21517,21537) = ( 21517 × 21537) / 1
LCM(21517,21537) = 463411629 / 1
LCM(21517,21537) = 463411629

Least Common Multiple (LCM) of 21517 and 21537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21517 and 21537. First we will calculate the prime factors of 21517 and 21537.

Prime Factorization of 21517

Prime Factorization of 21537

Now multiplying the highest exponent prime factors to calculate the LCM of 21517 and 21537.

LCM(21517,21537) = 21517¹ × 3² × 2393¹
LCM(21517,21537) = 463411629