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What is the Least Common Multiple of 38119 and 38128?

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 38119 and 38128 is 1453401232.

LCM(38119,38128) = 1453401232

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Least Common Multiple of 38119 and 38128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38119 and 38128, than apply into the LCM equation.

GCF(38119,38128) = 1
LCM(38119,38128) = ( 38119 × 38128) / 1
LCM(38119,38128) = 1453401232 / 1
LCM(38119,38128) = 1453401232

Least Common Multiple (LCM) of 38119 and 38128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38119 and 38128. First we will calculate the prime factors of 38119 and 38128.

Prime Factorization of 38119

Prime factors of 38119 are 38119. Prime factorization of 38119 in exponential form is:

38119 = 381191

Prime Factorization of 38128

Prime factors of 38128 are 2, 2383. Prime factorization of 38128 in exponential form is:

38128 = 24 × 23831

Now multiplying the highest exponent prime factors to calculate the LCM of 38119 and 38128.

LCM(38119,38128) = 381191 × 24 × 23831
LCM(38119,38128) = 1453401232