What is the Least Common Multiple of 21109 and 21117?

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 21109 and 21117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21109 and 21117, than apply into the LCM equation.

GCF(21109,21117) = 1
LCM(21109,21117) = ( 21109 × 21117) / 1
LCM(21109,21117) = 445758753 / 1
LCM(21109,21117) = 445758753

Least Common Multiple (LCM) of 21109 and 21117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21109 and 21117. First we will calculate the prime factors of 21109 and 21117.

Prime Factorization of 21109

Prime Factorization of 21117

Now multiplying the highest exponent prime factors to calculate the LCM of 21109 and 21117.

LCM(21109,21117) = 11¹ × 19¹ × 101¹ × 3¹ × 7039¹
LCM(21109,21117) = 445758753