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What is the Least Common Multiple of 11362 and 11378?

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 11362 and 11378 is 64638418.

LCM(11362,11378) = 64638418

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Least Common Multiple of 11362 and 11378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11362 and 11378, than apply into the LCM equation.

GCF(11362,11378) = 2
LCM(11362,11378) = ( 11362 × 11378) / 2
LCM(11362,11378) = 129276836 / 2
LCM(11362,11378) = 64638418

Least Common Multiple (LCM) of 11362 and 11378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11362 and 11378. First we will calculate the prime factors of 11362 and 11378.

Prime Factorization of 11362

Prime factors of 11362 are 2, 13, 19, 23. Prime factorization of 11362 in exponential form is:

11362 = 21 × 131 × 191 × 231

Prime Factorization of 11378

Prime factors of 11378 are 2, 5689. Prime factorization of 11378 in exponential form is:

11378 = 21 × 56891

Now multiplying the highest exponent prime factors to calculate the LCM of 11362 and 11378.

LCM(11362,11378) = 21 × 131 × 191 × 231 × 56891
LCM(11362,11378) = 64638418