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What is the Least Common Multiple of 38877 and 38890?

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 38877 and 38890 is 1511926530.

LCM(38877,38890) = 1511926530

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Least Common Multiple of 38877 and 38890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38877 and 38890, than apply into the LCM equation.

GCF(38877,38890) = 1
LCM(38877,38890) = ( 38877 × 38890) / 1
LCM(38877,38890) = 1511926530 / 1
LCM(38877,38890) = 1511926530

Least Common Multiple (LCM) of 38877 and 38890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38877 and 38890. First we will calculate the prime factors of 38877 and 38890.

Prime Factorization of 38877

Prime factors of 38877 are 3, 12959. Prime factorization of 38877 in exponential form is:

38877 = 31 × 129591

Prime Factorization of 38890

Prime factors of 38890 are 2, 5, 3889. Prime factorization of 38890 in exponential form is:

38890 = 21 × 51 × 38891

Now multiplying the highest exponent prime factors to calculate the LCM of 38877 and 38890.

LCM(38877,38890) = 31 × 129591 × 21 × 51 × 38891
LCM(38877,38890) = 1511926530