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What is the Least Common Multiple of 56187 and 56193?

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 56187 and 56193 is 1052438697.

LCM(56187,56193) = 1052438697

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Least Common Multiple of 56187 and 56193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56187 and 56193, than apply into the LCM equation.

GCF(56187,56193) = 3
LCM(56187,56193) = ( 56187 × 56193) / 3
LCM(56187,56193) = 3157316091 / 3
LCM(56187,56193) = 1052438697

Least Common Multiple (LCM) of 56187 and 56193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56187 and 56193. First we will calculate the prime factors of 56187 and 56193.

Prime Factorization of 56187

Prime factors of 56187 are 3, 2081. Prime factorization of 56187 in exponential form is:

56187 = 33 × 20811

Prime Factorization of 56193

Prime factors of 56193 are 3, 18731. Prime factorization of 56193 in exponential form is:

56193 = 31 × 187311

Now multiplying the highest exponent prime factors to calculate the LCM of 56187 and 56193.

LCM(56187,56193) = 33 × 20811 × 187311
LCM(56187,56193) = 1052438697