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What is the Least Common Multiple of 62762 and 62773?

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 62762 and 62773 is 3939759026.

LCM(62762,62773) = 3939759026

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Least Common Multiple of 62762 and 62773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62762 and 62773, than apply into the LCM equation.

GCF(62762,62773) = 1
LCM(62762,62773) = ( 62762 × 62773) / 1
LCM(62762,62773) = 3939759026 / 1
LCM(62762,62773) = 3939759026

Least Common Multiple (LCM) of 62762 and 62773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62762 and 62773. First we will calculate the prime factors of 62762 and 62773.

Prime Factorization of 62762

Prime factors of 62762 are 2, 7, 4483. Prime factorization of 62762 in exponential form is:

62762 = 21 × 71 × 44831

Prime Factorization of 62773

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

62773 = 627731

Now multiplying the highest exponent prime factors to calculate the LCM of 62762 and 62773.

LCM(62762,62773) = 21 × 71 × 44831 × 627731
LCM(62762,62773) = 3939759026