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What is the Least Common Multiple of 59155 and 59159?

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 59155 and 59159 is 3499550645.

LCM(59155,59159) = 3499550645

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Least Common Multiple of 59155 and 59159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59155 and 59159, than apply into the LCM equation.

GCF(59155,59159) = 1
LCM(59155,59159) = ( 59155 × 59159) / 1
LCM(59155,59159) = 3499550645 / 1
LCM(59155,59159) = 3499550645

Least Common Multiple (LCM) of 59155 and 59159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59155 and 59159. First we will calculate the prime factors of 59155 and 59159.

Prime Factorization of 59155

Prime factors of 59155 are 5, 11831. Prime factorization of 59155 in exponential form is:

59155 = 51 × 118311

Prime Factorization of 59159

Prime factors of 59159 are 59159. Prime factorization of 59159 in exponential form is:

59159 = 591591

Now multiplying the highest exponent prime factors to calculate the LCM of 59155 and 59159.

LCM(59155,59159) = 51 × 118311 × 591591
LCM(59155,59159) = 3499550645