What is the Least Common Multiple of 11208 and 11218?

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 11208 and 11218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11208 and 11218, than apply into the LCM equation.

GCF(11208,11218) = 2
LCM(11208,11218) = ( 11208 × 11218) / 2
LCM(11208,11218) = 125731344 / 2
LCM(11208,11218) = 62865672

Least Common Multiple (LCM) of 11208 and 11218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11208 and 11218. First we will calculate the prime factors of 11208 and 11218.

Prime Factorization of 11208

Prime Factorization of 11218

Now multiplying the highest exponent prime factors to calculate the LCM of 11208 and 11218.

LCM(11208,11218) = 2³ × 3¹ × 467¹ × 71¹ × 79¹
LCM(11208,11218) = 62865672