What is the Least Common Multiple of 22806 and 22820?

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 22806 and 22820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22806 and 22820, than apply into the LCM equation.

GCF(22806,22820) = 14
LCM(22806,22820) = ( 22806 × 22820) / 14
LCM(22806,22820) = 520432920 / 14
LCM(22806,22820) = 37173780

Least Common Multiple (LCM) of 22806 and 22820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22806 and 22820. First we will calculate the prime factors of 22806 and 22820.

Prime Factorization of 22806

Prime Factorization of 22820

Now multiplying the highest exponent prime factors to calculate the LCM of 22806 and 22820.

LCM(22806,22820) = 2² × 3² × 7¹ × 181¹ × 5¹ × 163¹
LCM(22806,22820) = 37173780