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What is the Least Common Multiple of 11300 and 11314?

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 11300 and 11314 is 63924100.

LCM(11300,11314) = 63924100

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Least Common Multiple of 11300 and 11314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11300 and 11314, than apply into the LCM equation.

GCF(11300,11314) = 2
LCM(11300,11314) = ( 11300 × 11314) / 2
LCM(11300,11314) = 127848200 / 2
LCM(11300,11314) = 63924100

Least Common Multiple (LCM) of 11300 and 11314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11300 and 11314. First we will calculate the prime factors of 11300 and 11314.

Prime Factorization of 11300

Prime factors of 11300 are 2, 5, 113. Prime factorization of 11300 in exponential form is:

11300 = 22 × 52 × 1131

Prime Factorization of 11314

Prime factors of 11314 are 2, 5657. Prime factorization of 11314 in exponential form is:

11314 = 21 × 56571

Now multiplying the highest exponent prime factors to calculate the LCM of 11300 and 11314.

LCM(11300,11314) = 22 × 52 × 1131 × 56571
LCM(11300,11314) = 63924100