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What is the Least Common Multiple of 59033 and 59038?

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 59033 and 59038 is 3485190254.

LCM(59033,59038) = 3485190254

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Least Common Multiple of 59033 and 59038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59033 and 59038, than apply into the LCM equation.

GCF(59033,59038) = 1
LCM(59033,59038) = ( 59033 × 59038) / 1
LCM(59033,59038) = 3485190254 / 1
LCM(59033,59038) = 3485190254

Least Common Multiple (LCM) of 59033 and 59038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59033 and 59038. First we will calculate the prime factors of 59033 and 59038.

Prime Factorization of 59033

Prime factors of 59033 are 13, 19, 239. Prime factorization of 59033 in exponential form is:

59033 = 131 × 191 × 2391

Prime Factorization of 59038

Prime factors of 59038 are 2, 7, 4217. Prime factorization of 59038 in exponential form is:

59038 = 21 × 71 × 42171

Now multiplying the highest exponent prime factors to calculate the LCM of 59033 and 59038.

LCM(59033,59038) = 131 × 191 × 2391 × 21 × 71 × 42171
LCM(59033,59038) = 3485190254