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What is the Least Common Multiple of 62022 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 62022 and 62027 is 3847038594.

LCM(62022,62027) = 3847038594

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Least Common Multiple of 62022 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 62022 and 62027, than apply into the LCM equation.

GCF(62022,62027) = 1
LCM(62022,62027) = ( 62022 × 62027) / 1
LCM(62022,62027) = 3847038594 / 1
LCM(62022,62027) = 3847038594

Least Common Multiple (LCM) of 62022 and 62027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62022 and 62027. First we will calculate the prime factors of 62022 and 62027.

Prime Factorization of 62022

Prime factors of 62022 are 2, 3, 10337. Prime factorization of 62022 in exponential form is:

62022 = 21 × 31 × 103371

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 62022 and 62027.

LCM(62022,62027) = 21 × 31 × 103371 × 71 × 88611
LCM(62022,62027) = 3847038594