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What is the Least Common Multiple of 65349 and 65367?

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 65349 and 65367 is 474629787.

LCM(65349,65367) = 474629787

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Least Common Multiple of 65349 and 65367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65349 and 65367, than apply into the LCM equation.

GCF(65349,65367) = 9
LCM(65349,65367) = ( 65349 × 65367) / 9
LCM(65349,65367) = 4271668083 / 9
LCM(65349,65367) = 474629787

Least Common Multiple (LCM) of 65349 and 65367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65349 and 65367. First we will calculate the prime factors of 65349 and 65367.

Prime Factorization of 65349

Prime factors of 65349 are 3, 53, 137. Prime factorization of 65349 in exponential form is:

65349 = 32 × 531 × 1371

Prime Factorization of 65367

Prime factors of 65367 are 3, 269. Prime factorization of 65367 in exponential form is:

65367 = 35 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 65349 and 65367.

LCM(65349,65367) = 35 × 531 × 1371 × 2691
LCM(65349,65367) = 474629787