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What is the Least Common Multiple of 62773 and 62778?

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 62778 is 3940763394.

LCM(62773,62778) = 3940763394

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Least Common Multiple of 62773 and 62778 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 62778, than apply into the LCM equation.

GCF(62773,62778) = 1
LCM(62773,62778) = ( 62773 × 62778) / 1
LCM(62773,62778) = 3940763394 / 1
LCM(62773,62778) = 3940763394

Least Common Multiple (LCM) of 62773 and 62778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62773 and 62778. First we will calculate the prime factors of 62773 and 62778.

Prime Factorization of 62773

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

62773 = 627731

Prime Factorization of 62778

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

62778 = 21 × 31 × 104631

Now multiplying the highest exponent prime factors to calculate the LCM of 62773 and 62778.

LCM(62773,62778) = 627731 × 21 × 31 × 104631
LCM(62773,62778) = 3940763394