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What is the Least Common Multiple of 65097 and 65115?

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 65097 and 65115 is 470976795.

LCM(65097,65115) = 470976795

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Least Common Multiple of 65097 and 65115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65097 and 65115, than apply into the LCM equation.

GCF(65097,65115) = 9
LCM(65097,65115) = ( 65097 × 65115) / 9
LCM(65097,65115) = 4238791155 / 9
LCM(65097,65115) = 470976795

Least Common Multiple (LCM) of 65097 and 65115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65097 and 65115. First we will calculate the prime factors of 65097 and 65115.

Prime Factorization of 65097

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

65097 = 33 × 24111

Prime Factorization of 65115

Prime factors of 65115 are 3, 5, 1447. Prime factorization of 65115 in exponential form is:

65115 = 32 × 51 × 14471

Now multiplying the highest exponent prime factors to calculate the LCM of 65097 and 65115.

LCM(65097,65115) = 33 × 24111 × 51 × 14471
LCM(65097,65115) = 470976795