What is the Least Common Multiple of 20894 and 20902?

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 20894 and 20902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20894 and 20902, than apply into the LCM equation.

GCF(20894,20902) = 2
LCM(20894,20902) = ( 20894 × 20902) / 2
LCM(20894,20902) = 436726388 / 2
LCM(20894,20902) = 218363194

Least Common Multiple (LCM) of 20894 and 20902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20894 and 20902. First we will calculate the prime factors of 20894 and 20902.

Prime Factorization of 20894

Prime Factorization of 20902

Now multiplying the highest exponent prime factors to calculate the LCM of 20894 and 20902.

LCM(20894,20902) = 2¹ × 31¹ × 337¹ × 7¹ × 1493¹
LCM(20894,20902) = 218363194