What is the Least Common Multiple of 21892 and 21898?

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 21892 and 21898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21892 and 21898, than apply into the LCM equation.

GCF(21892,21898) = 2
LCM(21892,21898) = ( 21892 × 21898) / 2
LCM(21892,21898) = 479391016 / 2
LCM(21892,21898) = 239695508

Least Common Multiple (LCM) of 21892 and 21898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21892 and 21898. First we will calculate the prime factors of 21892 and 21898.

Prime Factorization of 21892

Prime Factorization of 21898

Now multiplying the highest exponent prime factors to calculate the LCM of 21892 and 21898.

LCM(21892,21898) = 2² × 13¹ × 421¹ × 10949¹
LCM(21892,21898) = 239695508