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What is the Least Common Multiple of 62929 and 62945?

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 62929 and 62945 is 3961065905.

LCM(62929,62945) = 3961065905

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Least Common Multiple of 62929 and 62945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62929 and 62945, than apply into the LCM equation.

GCF(62929,62945) = 1
LCM(62929,62945) = ( 62929 × 62945) / 1
LCM(62929,62945) = 3961065905 / 1
LCM(62929,62945) = 3961065905

Least Common Multiple (LCM) of 62929 and 62945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62929 and 62945. First we will calculate the prime factors of 62929 and 62945.

Prime Factorization of 62929

Prime factors of 62929 are 62929. Prime factorization of 62929 in exponential form is:

62929 = 629291

Prime Factorization of 62945

Prime factors of 62945 are 5, 12589. Prime factorization of 62945 in exponential form is:

62945 = 51 × 125891

Now multiplying the highest exponent prime factors to calculate the LCM of 62929 and 62945.

LCM(62929,62945) = 629291 × 51 × 125891
LCM(62929,62945) = 3961065905