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What is the Least Common Multiple of 59053 and 59062?

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 59053 and 59062 is 3487788286.

LCM(59053,59062) = 3487788286

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Least Common Multiple of 59053 and 59062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59053 and 59062, than apply into the LCM equation.

GCF(59053,59062) = 1
LCM(59053,59062) = ( 59053 × 59062) / 1
LCM(59053,59062) = 3487788286 / 1
LCM(59053,59062) = 3487788286

Least Common Multiple (LCM) of 59053 and 59062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59053 and 59062. First we will calculate the prime factors of 59053 and 59062.

Prime Factorization of 59053

Prime factors of 59053 are 59053. Prime factorization of 59053 in exponential form is:

59053 = 590531

Prime Factorization of 59062

Prime factors of 59062 are 2, 29531. Prime factorization of 59062 in exponential form is:

59062 = 21 × 295311

Now multiplying the highest exponent prime factors to calculate the LCM of 59053 and 59062.

LCM(59053,59062) = 590531 × 21 × 295311
LCM(59053,59062) = 3487788286