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What is the Least Common Multiple of 59041 and 59060?

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 59041 and 59060 is 3486961460.

LCM(59041,59060) = 3486961460

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Least Common Multiple of 59041 and 59060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59041 and 59060, than apply into the LCM equation.

GCF(59041,59060) = 1
LCM(59041,59060) = ( 59041 × 59060) / 1
LCM(59041,59060) = 3486961460 / 1
LCM(59041,59060) = 3486961460

Least Common Multiple (LCM) of 59041 and 59060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59041 and 59060. First we will calculate the prime factors of 59041 and 59060.

Prime Factorization of 59041

Prime factors of 59041 are 17, 23, 151. Prime factorization of 59041 in exponential form is:

59041 = 171 × 231 × 1511

Prime Factorization of 59060

Prime factors of 59060 are 2, 5, 2953. Prime factorization of 59060 in exponential form is:

59060 = 22 × 51 × 29531

Now multiplying the highest exponent prime factors to calculate the LCM of 59041 and 59060.

LCM(59041,59060) = 171 × 231 × 1511 × 22 × 51 × 29531
LCM(59041,59060) = 3486961460