What is the Least Common Multiple of 22609 and 22620?

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 22609 and 22620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22609 and 22620, than apply into the LCM equation.

GCF(22609,22620) = 1
LCM(22609,22620) = ( 22609 × 22620) / 1
LCM(22609,22620) = 511415580 / 1
LCM(22609,22620) = 511415580

Least Common Multiple (LCM) of 22609 and 22620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22609 and 22620. First we will calculate the prime factors of 22609 and 22620.

Prime Factorization of 22609

Prime Factorization of 22620

Now multiplying the highest exponent prime factors to calculate the LCM of 22609 and 22620.

LCM(22609,22620) = 23¹ × 983¹ × 2² × 3¹ × 5¹ × 13¹ × 29¹
LCM(22609,22620) = 511415580