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What is the Least Common Multiple of 65141 and 65155?

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 65141 and 65155 is 4244261855.

LCM(65141,65155) = 4244261855

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Least Common Multiple of 65141 and 65155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65141 and 65155, than apply into the LCM equation.

GCF(65141,65155) = 1
LCM(65141,65155) = ( 65141 × 65155) / 1
LCM(65141,65155) = 4244261855 / 1
LCM(65141,65155) = 4244261855

Least Common Multiple (LCM) of 65141 and 65155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65141 and 65155. First we will calculate the prime factors of 65141 and 65155.

Prime Factorization of 65141

Prime factors of 65141 are 65141. Prime factorization of 65141 in exponential form is:

65141 = 651411

Prime Factorization of 65155

Prime factors of 65155 are 5, 83, 157. Prime factorization of 65155 in exponential form is:

65155 = 51 × 831 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 65141 and 65155.

LCM(65141,65155) = 651411 × 51 × 831 × 1571
LCM(65141,65155) = 4244261855