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What is the Least Common Multiple of 59357 and 59367?

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 59357 and 59367 is 3523847019.

LCM(59357,59367) = 3523847019

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Least Common Multiple of 59357 and 59367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59357 and 59367, than apply into the LCM equation.

GCF(59357,59367) = 1
LCM(59357,59367) = ( 59357 × 59367) / 1
LCM(59357,59367) = 3523847019 / 1
LCM(59357,59367) = 3523847019

Least Common Multiple (LCM) of 59357 and 59367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59357 and 59367. First we will calculate the prime factors of 59357 and 59367.

Prime Factorization of 59357

Prime factors of 59357 are 59357. Prime factorization of 59357 in exponential form is:

59357 = 593571

Prime Factorization of 59367

Prime factors of 59367 are 3, 7, 11, 257. Prime factorization of 59367 in exponential form is:

59367 = 31 × 71 × 111 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 59357 and 59367.

LCM(59357,59367) = 593571 × 31 × 71 × 111 × 2571
LCM(59357,59367) = 3523847019