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What is the Least Common Multiple of 59379 and 59383?

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 59379 and 59383 is 3526103157.

LCM(59379,59383) = 3526103157

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Least Common Multiple of 59379 and 59383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59379 and 59383, than apply into the LCM equation.

GCF(59379,59383) = 1
LCM(59379,59383) = ( 59379 × 59383) / 1
LCM(59379,59383) = 3526103157 / 1
LCM(59379,59383) = 3526103157

Least Common Multiple (LCM) of 59379 and 59383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59379 and 59383. First we will calculate the prime factors of 59379 and 59383.

Prime Factorization of 59379

Prime factors of 59379 are 3, 19793. Prime factorization of 59379 in exponential form is:

59379 = 31 × 197931

Prime Factorization of 59383

Prime factors of 59383 are 43, 1381. Prime factorization of 59383 in exponential form is:

59383 = 431 × 13811

Now multiplying the highest exponent prime factors to calculate the LCM of 59379 and 59383.

LCM(59379,59383) = 31 × 197931 × 431 × 13811
LCM(59379,59383) = 3526103157