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What is the Least Common Multiple of 62012 and 62030?

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 62012 and 62030 is 1923302180.

LCM(62012,62030) = 1923302180

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Least Common Multiple of 62012 and 62030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62012 and 62030, than apply into the LCM equation.

GCF(62012,62030) = 2
LCM(62012,62030) = ( 62012 × 62030) / 2
LCM(62012,62030) = 3846604360 / 2
LCM(62012,62030) = 1923302180

Least Common Multiple (LCM) of 62012 and 62030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62012 and 62030. First we will calculate the prime factors of 62012 and 62030.

Prime Factorization of 62012

Prime factors of 62012 are 2, 37, 419. Prime factorization of 62012 in exponential form is:

62012 = 22 × 371 × 4191

Prime Factorization of 62030

Prime factors of 62030 are 2, 5, 6203. Prime factorization of 62030 in exponential form is:

62030 = 21 × 51 × 62031

Now multiplying the highest exponent prime factors to calculate the LCM of 62012 and 62030.

LCM(62012,62030) = 22 × 371 × 4191 × 51 × 62031
LCM(62012,62030) = 1923302180