What is the Least Common Multiple of 22131 and 22137?

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 22131 and 22137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22131 and 22137, than apply into the LCM equation.

GCF(22131,22137) = 3
LCM(22131,22137) = ( 22131 × 22137) / 3
LCM(22131,22137) = 489913947 / 3
LCM(22131,22137) = 163304649

Least Common Multiple (LCM) of 22131 and 22137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22131 and 22137. First we will calculate the prime factors of 22131 and 22137.

Prime Factorization of 22131

Prime Factorization of 22137

Now multiplying the highest exponent prime factors to calculate the LCM of 22131 and 22137.

LCM(22131,22137) = 3² × 2459¹ × 47¹ × 157¹
LCM(22131,22137) = 163304649