What is the Least Common Multiple of 11220 and 11229?

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 11220 and 11229 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11220 and 11229, than apply into the LCM equation.

GCF(11220,11229) = 3
LCM(11220,11229) = ( 11220 × 11229) / 3
LCM(11220,11229) = 125989380 / 3
LCM(11220,11229) = 41996460

Least Common Multiple (LCM) of 11220 and 11229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11220 and 11229. First we will calculate the prime factors of 11220 and 11229.

Prime Factorization of 11220

Prime Factorization of 11229

Now multiplying the highest exponent prime factors to calculate the LCM of 11220 and 11229.

LCM(11220,11229) = 2² × 3¹ × 5¹ × 11¹ × 17¹ × 19¹ × 197¹
LCM(11220,11229) = 41996460