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What is the Least Common Multiple of 62773 and 62782?

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 62773 and 62782 is 3941014486.

LCM(62773,62782) = 3941014486

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Least Common Multiple of 62773 and 62782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62773 and 62782, than apply into the LCM equation.

GCF(62773,62782) = 1
LCM(62773,62782) = ( 62773 × 62782) / 1
LCM(62773,62782) = 3941014486 / 1
LCM(62773,62782) = 3941014486

Least Common Multiple (LCM) of 62773 and 62782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62773 and 62782. First we will calculate the prime factors of 62773 and 62782.

Prime Factorization of 62773

Prime factors of 62773 are 62773. Prime factorization of 62773 in exponential form is:

62773 = 627731

Prime Factorization of 62782

Prime factors of 62782 are 2, 31391. Prime factorization of 62782 in exponential form is:

62782 = 21 × 313911

Now multiplying the highest exponent prime factors to calculate the LCM of 62773 and 62782.

LCM(62773,62782) = 627731 × 21 × 313911
LCM(62773,62782) = 3941014486