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What is the Least Common Multiple of 62787 and 62793?

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 62787 and 62793 is 1314194697.

LCM(62787,62793) = 1314194697

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Least Common Multiple of 62787 and 62793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62787 and 62793, than apply into the LCM equation.

GCF(62787,62793) = 3
LCM(62787,62793) = ( 62787 × 62793) / 3
LCM(62787,62793) = 3942584091 / 3
LCM(62787,62793) = 1314194697

Least Common Multiple (LCM) of 62787 and 62793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62787 and 62793. First we will calculate the prime factors of 62787 and 62793.

Prime Factorization of 62787

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

62787 = 31 × 209291

Prime Factorization of 62793

Prime factors of 62793 are 3, 6977. Prime factorization of 62793 in exponential form is:

62793 = 32 × 69771

Now multiplying the highest exponent prime factors to calculate the LCM of 62787 and 62793.

LCM(62787,62793) = 32 × 209291 × 69771
LCM(62787,62793) = 1314194697