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What is the Least Common Multiple of 2248 and 2263?

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 2248 and 2263 is 5087224.

LCM(2248,2263) = 5087224

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Least Common Multiple of 2248 and 2263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2248 and 2263, than apply into the LCM equation.

GCF(2248,2263) = 1
LCM(2248,2263) = ( 2248 × 2263) / 1
LCM(2248,2263) = 5087224 / 1
LCM(2248,2263) = 5087224

Least Common Multiple (LCM) of 2248 and 2263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2248 and 2263. First we will calculate the prime factors of 2248 and 2263.

Prime Factorization of 2248

Prime factors of 2248 are 2, 281. Prime factorization of 2248 in exponential form is:

2248 = 23 × 2811

Prime Factorization of 2263

Prime factors of 2263 are 31, 73. Prime factorization of 2263 in exponential form is:

2263 = 311 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 2248 and 2263.

LCM(2248,2263) = 23 × 2811 × 311 × 731
LCM(2248,2263) = 5087224