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What is the Least Common Multiple of 65340 and 65345?

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 65340 and 65345 is 853928460.

LCM(65340,65345) = 853928460

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Least Common Multiple of 65340 and 65345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65340 and 65345, than apply into the LCM equation.

GCF(65340,65345) = 5
LCM(65340,65345) = ( 65340 × 65345) / 5
LCM(65340,65345) = 4269642300 / 5
LCM(65340,65345) = 853928460

Least Common Multiple (LCM) of 65340 and 65345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65340 and 65345. First we will calculate the prime factors of 65340 and 65345.

Prime Factorization of 65340

Prime factors of 65340 are 2, 3, 5, 11. Prime factorization of 65340 in exponential form is:

65340 = 22 × 33 × 51 × 112

Prime Factorization of 65345

Prime factors of 65345 are 5, 7, 1867. Prime factorization of 65345 in exponential form is:

65345 = 51 × 71 × 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 65340 and 65345.

LCM(65340,65345) = 22 × 33 × 51 × 112 × 71 × 18671
LCM(65340,65345) = 853928460