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What is the Least Common Multiple of 65380 and 65391?

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 65380 and 65391 is 4275263580.

LCM(65380,65391) = 4275263580

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Least Common Multiple of 65380 and 65391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65380 and 65391, than apply into the LCM equation.

GCF(65380,65391) = 1
LCM(65380,65391) = ( 65380 × 65391) / 1
LCM(65380,65391) = 4275263580 / 1
LCM(65380,65391) = 4275263580

Least Common Multiple (LCM) of 65380 and 65391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65380 and 65391. First we will calculate the prime factors of 65380 and 65391.

Prime Factorization of 65380

Prime factors of 65380 are 2, 5, 7, 467. Prime factorization of 65380 in exponential form is:

65380 = 22 × 51 × 71 × 4671

Prime Factorization of 65391

Prime factors of 65391 are 3, 71, 307. Prime factorization of 65391 in exponential form is:

65391 = 31 × 711 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 65380 and 65391.

LCM(65380,65391) = 22 × 51 × 71 × 4671 × 31 × 711 × 3071
LCM(65380,65391) = 4275263580