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What is the Least Common Multiple of 38853 and 38864?

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 38853 and 38864 is 1509982992.

LCM(38853,38864) = 1509982992

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Least Common Multiple of 38853 and 38864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38853 and 38864, than apply into the LCM equation.

GCF(38853,38864) = 1
LCM(38853,38864) = ( 38853 × 38864) / 1
LCM(38853,38864) = 1509982992 / 1
LCM(38853,38864) = 1509982992

Least Common Multiple (LCM) of 38853 and 38864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38853 and 38864. First we will calculate the prime factors of 38853 and 38864.

Prime Factorization of 38853

Prime factors of 38853 are 3, 1439. Prime factorization of 38853 in exponential form is:

38853 = 33 × 14391

Prime Factorization of 38864

Prime factors of 38864 are 2, 7, 347. Prime factorization of 38864 in exponential form is:

38864 = 24 × 71 × 3471

Now multiplying the highest exponent prime factors to calculate the LCM of 38853 and 38864.

LCM(38853,38864) = 33 × 14391 × 24 × 71 × 3471
LCM(38853,38864) = 1509982992