What is the Least Common Multiple of 22120 and 22131?

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 22120 and 22131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22120 and 22131, than apply into the LCM equation.

GCF(22120,22131) = 1
LCM(22120,22131) = ( 22120 × 22131) / 1
LCM(22120,22131) = 489537720 / 1
LCM(22120,22131) = 489537720

Least Common Multiple (LCM) of 22120 and 22131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22120 and 22131. First we will calculate the prime factors of 22120 and 22131.

Prime Factorization of 22120

Prime Factorization of 22131

Now multiplying the highest exponent prime factors to calculate the LCM of 22120 and 22131.

LCM(22120,22131) = 2³ × 5¹ × 7¹ × 79¹ × 3² × 2459¹
LCM(22120,22131) = 489537720