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What is the Least Common Multiple of 62237 and 62245?

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 62237 and 62245 is 3873942065.

LCM(62237,62245) = 3873942065

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Least Common Multiple of 62237 and 62245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62237 and 62245, than apply into the LCM equation.

GCF(62237,62245) = 1
LCM(62237,62245) = ( 62237 × 62245) / 1
LCM(62237,62245) = 3873942065 / 1
LCM(62237,62245) = 3873942065

Least Common Multiple (LCM) of 62237 and 62245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62237 and 62245. First we will calculate the prime factors of 62237 and 62245.

Prime Factorization of 62237

Prime factors of 62237 are 7, 17, 523. Prime factorization of 62237 in exponential form is:

62237 = 71 × 171 × 5231

Prime Factorization of 62245

Prime factors of 62245 are 5, 59, 211. Prime factorization of 62245 in exponential form is:

62245 = 51 × 591 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 62237 and 62245.

LCM(62237,62245) = 71 × 171 × 5231 × 51 × 591 × 2111
LCM(62237,62245) = 3873942065