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What is the Least Common Multiple of 56131 and 56140?

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 56131 and 56140 is 3151194340.

LCM(56131,56140) = 3151194340

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Least Common Multiple of 56131 and 56140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56131 and 56140, than apply into the LCM equation.

GCF(56131,56140) = 1
LCM(56131,56140) = ( 56131 × 56140) / 1
LCM(56131,56140) = 3151194340 / 1
LCM(56131,56140) = 3151194340

Least Common Multiple (LCM) of 56131 and 56140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56131 and 56140. First we will calculate the prime factors of 56131 and 56140.

Prime Factorization of 56131

Prime factors of 56131 are 56131. Prime factorization of 56131 in exponential form is:

56131 = 561311

Prime Factorization of 56140

Prime factors of 56140 are 2, 5, 7, 401. Prime factorization of 56140 in exponential form is:

56140 = 22 × 51 × 71 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 56131 and 56140.

LCM(56131,56140) = 561311 × 22 × 51 × 71 × 4011
LCM(56131,56140) = 3151194340