What is the Least Common Multiple of 22661 and 22679?

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 22661 and 22679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22661 and 22679, than apply into the LCM equation.

GCF(22661,22679) = 1
LCM(22661,22679) = ( 22661 × 22679) / 1
LCM(22661,22679) = 513928819 / 1
LCM(22661,22679) = 513928819

Least Common Multiple (LCM) of 22661 and 22679 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22661 and 22679. First we will calculate the prime factors of 22661 and 22679.

Prime Factorization of 22661

Prime Factorization of 22679

Now multiplying the highest exponent prime factors to calculate the LCM of 22661 and 22679.

LCM(22661,22679) = 17¹ × 31¹ × 43¹ × 22679¹
LCM(22661,22679) = 513928819