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What is the Least Common Multiple of 93860 and 93870?

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 93860 and 93870 is 881063820.

LCM(93860,93870) = 881063820

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Least Common Multiple of 93860 and 93870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93860 and 93870, than apply into the LCM equation.

GCF(93860,93870) = 10
LCM(93860,93870) = ( 93860 × 93870) / 10
LCM(93860,93870) = 8810638200 / 10
LCM(93860,93870) = 881063820

Least Common Multiple (LCM) of 93860 and 93870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93860 and 93870. First we will calculate the prime factors of 93860 and 93870.

Prime Factorization of 93860

Prime factors of 93860 are 2, 5, 13, 19. Prime factorization of 93860 in exponential form is:

93860 = 22 × 51 × 131 × 192

Prime Factorization of 93870

Prime factors of 93870 are 2, 3, 5, 7, 149. Prime factorization of 93870 in exponential form is:

93870 = 21 × 32 × 51 × 71 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 93860 and 93870.

LCM(93860,93870) = 22 × 51 × 131 × 192 × 32 × 71 × 1491
LCM(93860,93870) = 881063820