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What is the Least Common Multiple of 59437 and 59441?

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 59437 and 59441 is 3532994717.

LCM(59437,59441) = 3532994717

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Least Common Multiple of 59437 and 59441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59437 and 59441, than apply into the LCM equation.

GCF(59437,59441) = 1
LCM(59437,59441) = ( 59437 × 59441) / 1
LCM(59437,59441) = 3532994717 / 1
LCM(59437,59441) = 3532994717

Least Common Multiple (LCM) of 59437 and 59441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59437 and 59441. First we will calculate the prime factors of 59437 and 59441.

Prime Factorization of 59437

Prime factors of 59437 are 7, 1213. Prime factorization of 59437 in exponential form is:

59437 = 72 × 12131

Prime Factorization of 59441

Prime factors of 59441 are 59441. Prime factorization of 59441 in exponential form is:

59441 = 594411

Now multiplying the highest exponent prime factors to calculate the LCM of 59437 and 59441.

LCM(59437,59441) = 72 × 12131 × 594411
LCM(59437,59441) = 3532994717