What is the Least Common Multiple of 22629 and 22644?

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 22629 and 22644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22629 and 22644, than apply into the LCM equation.

GCF(22629,22644) = 3
LCM(22629,22644) = ( 22629 × 22644) / 3
LCM(22629,22644) = 512411076 / 3
LCM(22629,22644) = 170803692

Least Common Multiple (LCM) of 22629 and 22644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22629 and 22644. First we will calculate the prime factors of 22629 and 22644.

Prime Factorization of 22629

Prime Factorization of 22644

Now multiplying the highest exponent prime factors to calculate the LCM of 22629 and 22644.

LCM(22629,22644) = 3² × 19¹ × 397¹ × 2² × 17¹ × 37¹
LCM(22629,22644) = 170803692