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What is the Least Common Multiple of 62779 and 62789?

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 62779 and 62789 is 3941830631.

LCM(62779,62789) = 3941830631

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Least Common Multiple of 62779 and 62789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62779 and 62789, than apply into the LCM equation.

GCF(62779,62789) = 1
LCM(62779,62789) = ( 62779 × 62789) / 1
LCM(62779,62789) = 3941830631 / 1
LCM(62779,62789) = 3941830631

Least Common Multiple (LCM) of 62779 and 62789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62779 and 62789. First we will calculate the prime factors of 62779 and 62789.

Prime Factorization of 62779

Prime factors of 62779 are 67, 937. Prime factorization of 62779 in exponential form is:

62779 = 671 × 9371

Prime Factorization of 62789

Prime factors of 62789 are 37, 1697. Prime factorization of 62789 in exponential form is:

62789 = 371 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 62779 and 62789.

LCM(62779,62789) = 671 × 9371 × 371 × 16971
LCM(62779,62789) = 3941830631