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What is the Least Common Multiple of 59471 and 59482?

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 59471 and 59482 is 3537454022.

LCM(59471,59482) = 3537454022

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Least Common Multiple of 59471 and 59482 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59471 and 59482, than apply into the LCM equation.

GCF(59471,59482) = 1
LCM(59471,59482) = ( 59471 × 59482) / 1
LCM(59471,59482) = 3537454022 / 1
LCM(59471,59482) = 3537454022

Least Common Multiple (LCM) of 59471 and 59482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59471 and 59482. First we will calculate the prime factors of 59471 and 59482.

Prime Factorization of 59471

Prime factors of 59471 are 59471. Prime factorization of 59471 in exponential form is:

59471 = 594711

Prime Factorization of 59482

Prime factors of 59482 are 2, 29741. Prime factorization of 59482 in exponential form is:

59482 = 21 × 297411

Now multiplying the highest exponent prime factors to calculate the LCM of 59471 and 59482.

LCM(59471,59482) = 594711 × 21 × 297411
LCM(59471,59482) = 3537454022