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What is the Least Common Multiple of 62778 and 62787?

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 62778 and 62787 is 1313880762.

LCM(62778,62787) = 1313880762

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Least Common Multiple of 62778 and 62787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62778 and 62787, than apply into the LCM equation.

GCF(62778,62787) = 3
LCM(62778,62787) = ( 62778 × 62787) / 3
LCM(62778,62787) = 3941642286 / 3
LCM(62778,62787) = 1313880762

Least Common Multiple (LCM) of 62778 and 62787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62778 and 62787. First we will calculate the prime factors of 62778 and 62787.

Prime Factorization of 62778

Prime factors of 62778 are 2, 3, 10463. Prime factorization of 62778 in exponential form is:

62778 = 21 × 31 × 104631

Prime Factorization of 62787

Prime factors of 62787 are 3, 20929. Prime factorization of 62787 in exponential form is:

62787 = 31 × 209291

Now multiplying the highest exponent prime factors to calculate the LCM of 62778 and 62787.

LCM(62778,62787) = 21 × 31 × 104631 × 209291
LCM(62778,62787) = 1313880762