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What is the Least Common Multiple of 38877 and 38885?

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 38885 is 1511732145.

LCM(38877,38885) = 1511732145

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Least Common Multiple of 38877 and 38885 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 38885, than apply into the LCM equation.

GCF(38877,38885) = 1
LCM(38877,38885) = ( 38877 × 38885) / 1
LCM(38877,38885) = 1511732145 / 1
LCM(38877,38885) = 1511732145

Least Common Multiple (LCM) of 38877 and 38885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38877 and 38885. First we will calculate the prime factors of 38877 and 38885.

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 38885

Prime factors of 38885 are 5, 7, 11, 101. Prime factorization of 38885 in exponential form is:

38885 = 51 × 71 × 111 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 38877 and 38885.

LCM(38877,38885) = 31 × 129591 × 51 × 71 × 111 × 1011
LCM(38877,38885) = 1511732145