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What is the Least Common Multiple of 11208 and 11224?

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 (LCM) of 11208 and 11224 is 15724824.

LCM(11208,11224) = 15724824

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Least Common Multiple of 11208 and 11224 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 11224, than apply into the LCM equation.

GCF(11208,11224) = 8
LCM(11208,11224) = ( 11208 × 11224) / 8
LCM(11208,11224) = 125798592 / 8
LCM(11208,11224) = 15724824

Least Common Multiple (LCM) of 11208 and 11224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11208 and 11224. First we will calculate the prime factors of 11208 and 11224.

Prime Factorization of 11208

Prime factors of 11208 are 2, 3, 467. Prime factorization of 11208 in exponential form is:

11208 = 23 × 31 × 4671

Prime Factorization of 11224

Prime factors of 11224 are 2, 23, 61. Prime factorization of 11224 in exponential form is:

11224 = 23 × 231 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 11208 and 11224.

LCM(11208,11224) = 23 × 31 × 4671 × 231 × 611
LCM(11208,11224) = 15724824