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What is the Least Common Multiple of 73121 and 73137?

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 73121 and 73137 is 5347850577.

LCM(73121,73137) = 5347850577

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Least Common Multiple of 73121 and 73137 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73121 and 73137, than apply into the LCM equation.

GCF(73121,73137) = 1
LCM(73121,73137) = ( 73121 × 73137) / 1
LCM(73121,73137) = 5347850577 / 1
LCM(73121,73137) = 5347850577

Least Common Multiple (LCM) of 73121 and 73137 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73121 and 73137. First we will calculate the prime factors of 73121 and 73137.

Prime Factorization of 73121

Prime factors of 73121 are 73121. Prime factorization of 73121 in exponential form is:

73121 = 731211

Prime Factorization of 73137

Prime factors of 73137 are 3, 24379. Prime factorization of 73137 in exponential form is:

73137 = 31 × 243791

Now multiplying the highest exponent prime factors to calculate the LCM of 73121 and 73137.

LCM(73121,73137) = 731211 × 31 × 243791
LCM(73121,73137) = 5347850577