What is the Least Common Multiple of 21892 and 21903?

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 21903 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 21903, than apply into the LCM equation.

GCF(21892,21903) = 1
LCM(21892,21903) = ( 21892 × 21903) / 1
LCM(21892,21903) = 479500476 / 1
LCM(21892,21903) = 479500476

Least Common Multiple (LCM) of 21892 and 21903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21892 and 21903. First we will calculate the prime factors of 21892 and 21903.

Prime Factorization of 21892

Prime Factorization of 21903

Now multiplying the highest exponent prime factors to calculate the LCM of 21892 and 21903.

LCM(21892,21903) = 2² × 13¹ × 421¹ × 3¹ × 7² × 149¹
LCM(21892,21903) = 479500476