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What is the Least Common Multiple of 38132 and 38141?

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 38132 and 38141 is 1454392612.

LCM(38132,38141) = 1454392612

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Least Common Multiple of 38132 and 38141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38132 and 38141, than apply into the LCM equation.

GCF(38132,38141) = 1
LCM(38132,38141) = ( 38132 × 38141) / 1
LCM(38132,38141) = 1454392612 / 1
LCM(38132,38141) = 1454392612

Least Common Multiple (LCM) of 38132 and 38141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38132 and 38141. First we will calculate the prime factors of 38132 and 38141.

Prime Factorization of 38132

Prime factors of 38132 are 2, 9533. Prime factorization of 38132 in exponential form is:

38132 = 22 × 95331

Prime Factorization of 38141

Prime factors of 38141 are 43, 887. Prime factorization of 38141 in exponential form is:

38141 = 431 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 38132 and 38141.

LCM(38132,38141) = 22 × 95331 × 431 × 8871
LCM(38132,38141) = 1454392612