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What is the Least Common Multiple of 62023 and 62027?

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 62023 and 62027 is 3847100621.

LCM(62023,62027) = 3847100621

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Least Common Multiple of 62023 and 62027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62023 and 62027, than apply into the LCM equation.

GCF(62023,62027) = 1
LCM(62023,62027) = ( 62023 × 62027) / 1
LCM(62023,62027) = 3847100621 / 1
LCM(62023,62027) = 3847100621

Least Common Multiple (LCM) of 62023 and 62027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62023 and 62027. First we will calculate the prime factors of 62023 and 62027.

Prime Factorization of 62023

Prime factors of 62023 are 13, 367. Prime factorization of 62023 in exponential form is:

62023 = 132 × 3671

Prime Factorization of 62027

Prime factors of 62027 are 7, 8861. Prime factorization of 62027 in exponential form is:

62027 = 71 × 88611

Now multiplying the highest exponent prime factors to calculate the LCM of 62023 and 62027.

LCM(62023,62027) = 132 × 3671 × 71 × 88611
LCM(62023,62027) = 3847100621