What is the Least Common Multiple of 22124 and 22136?

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 22124 and 22136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22124 and 22136, than apply into the LCM equation.

GCF(22124,22136) = 4
LCM(22124,22136) = ( 22124 × 22136) / 4
LCM(22124,22136) = 489736864 / 4
LCM(22124,22136) = 122434216

Least Common Multiple (LCM) of 22124 and 22136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22124 and 22136. First we will calculate the prime factors of 22124 and 22136.

Prime Factorization of 22124

Prime Factorization of 22136

Now multiplying the highest exponent prime factors to calculate the LCM of 22124 and 22136.

LCM(22124,22136) = 2³ × 5531¹ × 2767¹
LCM(22124,22136) = 122434216