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What is the Least Common Multiple of 38302 and 38314?

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 38302 and 38314 is 733751414.

LCM(38302,38314) = 733751414

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Least Common Multiple of 38302 and 38314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38302 and 38314, than apply into the LCM equation.

GCF(38302,38314) = 2
LCM(38302,38314) = ( 38302 × 38314) / 2
LCM(38302,38314) = 1467502828 / 2
LCM(38302,38314) = 733751414

Least Common Multiple (LCM) of 38302 and 38314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38302 and 38314. First we will calculate the prime factors of 38302 and 38314.

Prime Factorization of 38302

Prime factors of 38302 are 2, 11, 1741. Prime factorization of 38302 in exponential form is:

38302 = 21 × 111 × 17411

Prime Factorization of 38314

Prime factors of 38314 are 2, 19157. Prime factorization of 38314 in exponential form is:

38314 = 21 × 191571

Now multiplying the highest exponent prime factors to calculate the LCM of 38302 and 38314.

LCM(38302,38314) = 21 × 111 × 17411 × 191571
LCM(38302,38314) = 733751414