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What is the Least Common Multiple of 65395 and 65411?

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 65395 and 65411 is 4277552345.

LCM(65395,65411) = 4277552345

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Least Common Multiple of 65395 and 65411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65395 and 65411, than apply into the LCM equation.

GCF(65395,65411) = 1
LCM(65395,65411) = ( 65395 × 65411) / 1
LCM(65395,65411) = 4277552345 / 1
LCM(65395,65411) = 4277552345

Least Common Multiple (LCM) of 65395 and 65411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65395 and 65411. First we will calculate the prime factors of 65395 and 65411.

Prime Factorization of 65395

Prime factors of 65395 are 5, 11, 29, 41. Prime factorization of 65395 in exponential form is:

65395 = 51 × 111 × 291 × 411

Prime Factorization of 65411

Prime factors of 65411 are 149, 439. Prime factorization of 65411 in exponential form is:

65411 = 1491 × 4391

Now multiplying the highest exponent prime factors to calculate the LCM of 65395 and 65411.

LCM(65395,65411) = 51 × 111 × 291 × 411 × 1491 × 4391
LCM(65395,65411) = 4277552345