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What is the Least Common Multiple of 38273 and 38278?

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 38273 and 38278 is 1465013894.

LCM(38273,38278) = 1465013894

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Least Common Multiple of 38273 and 38278 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38273 and 38278, than apply into the LCM equation.

GCF(38273,38278) = 1
LCM(38273,38278) = ( 38273 × 38278) / 1
LCM(38273,38278) = 1465013894 / 1
LCM(38273,38278) = 1465013894

Least Common Multiple (LCM) of 38273 and 38278 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38273 and 38278. First we will calculate the prime factors of 38273 and 38278.

Prime Factorization of 38273

Prime factors of 38273 are 38273. Prime factorization of 38273 in exponential form is:

38273 = 382731

Prime Factorization of 38278

Prime factors of 38278 are 2, 19139. Prime factorization of 38278 in exponential form is:

38278 = 21 × 191391

Now multiplying the highest exponent prime factors to calculate the LCM of 38273 and 38278.

LCM(38273,38278) = 382731 × 21 × 191391
LCM(38273,38278) = 1465013894