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What is the Least Common Multiple of 65084 and 65097?

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 65084 and 65097 is 4236773148.

LCM(65084,65097) = 4236773148

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Least Common Multiple of 65084 and 65097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65084 and 65097, than apply into the LCM equation.

GCF(65084,65097) = 1
LCM(65084,65097) = ( 65084 × 65097) / 1
LCM(65084,65097) = 4236773148 / 1
LCM(65084,65097) = 4236773148

Least Common Multiple (LCM) of 65084 and 65097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65084 and 65097. First we will calculate the prime factors of 65084 and 65097.

Prime Factorization of 65084

Prime factors of 65084 are 2, 53, 307. Prime factorization of 65084 in exponential form is:

65084 = 22 × 531 × 3071

Prime Factorization of 65097

Prime factors of 65097 are 3, 2411. Prime factorization of 65097 in exponential form is:

65097 = 33 × 24111

Now multiplying the highest exponent prime factors to calculate the LCM of 65084 and 65097.

LCM(65084,65097) = 22 × 531 × 3071 × 33 × 24111
LCM(65084,65097) = 4236773148