What is the Least Common Multiple of 21874 and 21893?

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 21874 and 21893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21874 and 21893, than apply into the LCM equation.

GCF(21874,21893) = 1
LCM(21874,21893) = ( 21874 × 21893) / 1
LCM(21874,21893) = 478887482 / 1
LCM(21874,21893) = 478887482

Least Common Multiple (LCM) of 21874 and 21893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21874 and 21893. First we will calculate the prime factors of 21874 and 21893.

Prime Factorization of 21874

Prime Factorization of 21893

Now multiplying the highest exponent prime factors to calculate the LCM of 21874 and 21893.

LCM(21874,21893) = 2¹ × 10937¹ × 21893¹
LCM(21874,21893) = 478887482