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What is the Least Common Multiple of 38739 and 38758?

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 38739 and 38758 is 1501446162.

LCM(38739,38758) = 1501446162

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Least Common Multiple of 38739 and 38758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38739 and 38758, than apply into the LCM equation.

GCF(38739,38758) = 1
LCM(38739,38758) = ( 38739 × 38758) / 1
LCM(38739,38758) = 1501446162 / 1
LCM(38739,38758) = 1501446162

Least Common Multiple (LCM) of 38739 and 38758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38739 and 38758. First we will calculate the prime factors of 38739 and 38758.

Prime Factorization of 38739

Prime factors of 38739 are 3, 37, 349. Prime factorization of 38739 in exponential form is:

38739 = 31 × 371 × 3491

Prime Factorization of 38758

Prime factors of 38758 are 2, 19379. Prime factorization of 38758 in exponential form is:

38758 = 21 × 193791

Now multiplying the highest exponent prime factors to calculate the LCM of 38739 and 38758.

LCM(38739,38758) = 31 × 371 × 3491 × 21 × 193791
LCM(38739,38758) = 1501446162