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What is the Least Common Multiple of 59021 and 59030?

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 59021 and 59030 is 3484009630.

LCM(59021,59030) = 3484009630

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Least Common Multiple of 59021 and 59030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59021 and 59030, than apply into the LCM equation.

GCF(59021,59030) = 1
LCM(59021,59030) = ( 59021 × 59030) / 1
LCM(59021,59030) = 3484009630 / 1
LCM(59021,59030) = 3484009630

Least Common Multiple (LCM) of 59021 and 59030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59021 and 59030. First we will calculate the prime factors of 59021 and 59030.

Prime Factorization of 59021

Prime factors of 59021 are 59021. Prime factorization of 59021 in exponential form is:

59021 = 590211

Prime Factorization of 59030

Prime factors of 59030 are 2, 5, 5903. Prime factorization of 59030 in exponential form is:

59030 = 21 × 51 × 59031

Now multiplying the highest exponent prime factors to calculate the LCM of 59021 and 59030.

LCM(59021,59030) = 590211 × 21 × 51 × 59031
LCM(59021,59030) = 3484009630