What is the Least Common Multiple of 20926 and 20943?

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 20926 and 20943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20926 and 20943, than apply into the LCM equation.

GCF(20926,20943) = 1
LCM(20926,20943) = ( 20926 × 20943) / 1
LCM(20926,20943) = 438253218 / 1
LCM(20926,20943) = 438253218

Least Common Multiple (LCM) of 20926 and 20943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20926 and 20943. First we will calculate the prime factors of 20926 and 20943.

Prime Factorization of 20926

Prime Factorization of 20943

Now multiplying the highest exponent prime factors to calculate the LCM of 20926 and 20943.

LCM(20926,20943) = 2¹ × 10463¹ × 3² × 13¹ × 179¹
LCM(20926,20943) = 438253218