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What is the Least Common Multiple of 38486 and 38495?

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 38486 and 38495 is 1481518570.

LCM(38486,38495) = 1481518570

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Least Common Multiple of 38486 and 38495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38486 and 38495, than apply into the LCM equation.

GCF(38486,38495) = 1
LCM(38486,38495) = ( 38486 × 38495) / 1
LCM(38486,38495) = 1481518570 / 1
LCM(38486,38495) = 1481518570

Least Common Multiple (LCM) of 38486 and 38495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38486 and 38495. First we will calculate the prime factors of 38486 and 38495.

Prime Factorization of 38486

Prime factors of 38486 are 2, 7, 2749. Prime factorization of 38486 in exponential form is:

38486 = 21 × 71 × 27491

Prime Factorization of 38495

Prime factors of 38495 are 5, 7699. Prime factorization of 38495 in exponential form is:

38495 = 51 × 76991

Now multiplying the highest exponent prime factors to calculate the LCM of 38486 and 38495.

LCM(38486,38495) = 21 × 71 × 27491 × 51 × 76991
LCM(38486,38495) = 1481518570