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What is the Least Common Multiple of 59527 and 59539?

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 59527 and 59539 is 3544178053.

LCM(59527,59539) = 3544178053

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Least Common Multiple of 59527 and 59539 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59527 and 59539, than apply into the LCM equation.

GCF(59527,59539) = 1
LCM(59527,59539) = ( 59527 × 59539) / 1
LCM(59527,59539) = 3544178053 / 1
LCM(59527,59539) = 3544178053

Least Common Multiple (LCM) of 59527 and 59539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59527 and 59539. First we will calculate the prime factors of 59527 and 59539.

Prime Factorization of 59527

Prime factors of 59527 are 13, 19, 241. Prime factorization of 59527 in exponential form is:

59527 = 131 × 191 × 2411

Prime Factorization of 59539

Prime factors of 59539 are 59539. Prime factorization of 59539 in exponential form is:

59539 = 595391

Now multiplying the highest exponent prime factors to calculate the LCM of 59527 and 59539.

LCM(59527,59539) = 131 × 191 × 2411 × 595391
LCM(59527,59539) = 3544178053