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What is the Least Common Multiple of 56155 and 56159?

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 56155 and 56159 is 3153608645.

LCM(56155,56159) = 3153608645

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Least Common Multiple of 56155 and 56159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56155 and 56159, than apply into the LCM equation.

GCF(56155,56159) = 1
LCM(56155,56159) = ( 56155 × 56159) / 1
LCM(56155,56159) = 3153608645 / 1
LCM(56155,56159) = 3153608645

Least Common Multiple (LCM) of 56155 and 56159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56155 and 56159. First we will calculate the prime factors of 56155 and 56159.

Prime Factorization of 56155

Prime factors of 56155 are 5, 11, 1021. Prime factorization of 56155 in exponential form is:

56155 = 51 × 111 × 10211

Prime Factorization of 56159

Prime factors of 56159 are 89, 631. Prime factorization of 56159 in exponential form is:

56159 = 891 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 56155 and 56159.

LCM(56155,56159) = 51 × 111 × 10211 × 891 × 6311
LCM(56155,56159) = 3153608645