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What is the Least Common Multiple of 93844 and 93860?

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 93844 and 93860 is 2202049460.

LCM(93844,93860) = 2202049460

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Least Common Multiple of 93844 and 93860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93844 and 93860, than apply into the LCM equation.

GCF(93844,93860) = 4
LCM(93844,93860) = ( 93844 × 93860) / 4
LCM(93844,93860) = 8808197840 / 4
LCM(93844,93860) = 2202049460

Least Common Multiple (LCM) of 93844 and 93860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93844 and 93860. First we will calculate the prime factors of 93844 and 93860.

Prime Factorization of 93844

Prime factors of 93844 are 2, 29, 809. Prime factorization of 93844 in exponential form is:

93844 = 22 × 291 × 8091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 93844 and 93860.

LCM(93844,93860) = 22 × 291 × 8091 × 51 × 131 × 192
LCM(93844,93860) = 2202049460