What is the Least Common Multiple of 22116 and 22135?

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 22116 and 22135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22116 and 22135, than apply into the LCM equation.

GCF(22116,22135) = 19
LCM(22116,22135) = ( 22116 × 22135) / 19
LCM(22116,22135) = 489537660 / 19
LCM(22116,22135) = 25765140

Least Common Multiple (LCM) of 22116 and 22135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22116 and 22135. First we will calculate the prime factors of 22116 and 22135.

Prime Factorization of 22116

Prime Factorization of 22135

Now multiplying the highest exponent prime factors to calculate the LCM of 22116 and 22135.

LCM(22116,22135) = 2² × 3¹ × 19¹ × 97¹ × 5¹ × 233¹
LCM(22116,22135) = 25765140