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What is the Least Common Multiple of 59439 and 59453?

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 59439 and 59453 is 3533826867.

LCM(59439,59453) = 3533826867

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Least Common Multiple of 59439 and 59453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59439 and 59453, than apply into the LCM equation.

GCF(59439,59453) = 1
LCM(59439,59453) = ( 59439 × 59453) / 1
LCM(59439,59453) = 3533826867 / 1
LCM(59439,59453) = 3533826867

Least Common Multiple (LCM) of 59439 and 59453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59439 and 59453. First we will calculate the prime factors of 59439 and 59453.

Prime Factorization of 59439

Prime factors of 59439 are 3, 19813. Prime factorization of 59439 in exponential form is:

59439 = 31 × 198131

Prime Factorization of 59453

Prime factors of 59453 are 59453. Prime factorization of 59453 in exponential form is:

59453 = 594531

Now multiplying the highest exponent prime factors to calculate the LCM of 59439 and 59453.

LCM(59439,59453) = 31 × 198131 × 594531
LCM(59439,59453) = 3533826867