What is the Least Common Multiple of 22686 and 22691?

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 22686 and 22691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22686 and 22691, than apply into the LCM equation.

GCF(22686,22691) = 1
LCM(22686,22691) = ( 22686 × 22691) / 1
LCM(22686,22691) = 514768026 / 1
LCM(22686,22691) = 514768026

Least Common Multiple (LCM) of 22686 and 22691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22686 and 22691. First we will calculate the prime factors of 22686 and 22691.

Prime Factorization of 22686

Prime Factorization of 22691

Now multiplying the highest exponent prime factors to calculate the LCM of 22686 and 22691.

LCM(22686,22691) = 2¹ × 3¹ × 19¹ × 199¹ × 22691¹
LCM(22686,22691) = 514768026