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What is the Least Common Multiple of 11224 and 11238?

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 11224 and 11238 is 63067656.

LCM(11224,11238) = 63067656

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Least Common Multiple of 11224 and 11238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11224 and 11238, than apply into the LCM equation.

GCF(11224,11238) = 2
LCM(11224,11238) = ( 11224 × 11238) / 2
LCM(11224,11238) = 126135312 / 2
LCM(11224,11238) = 63067656

Least Common Multiple (LCM) of 11224 and 11238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11224 and 11238. First we will calculate the prime factors of 11224 and 11238.

Prime Factorization of 11224

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

11224 = 23 × 231 × 611

Prime Factorization of 11238

Prime factors of 11238 are 2, 3, 1873. Prime factorization of 11238 in exponential form is:

11238 = 21 × 31 × 18731

Now multiplying the highest exponent prime factors to calculate the LCM of 11224 and 11238.

LCM(11224,11238) = 23 × 231 × 611 × 31 × 18731
LCM(11224,11238) = 63067656