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What is the Least Common Multiple of 57030 and 57042?

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 57030 and 57042 is 542184210.

LCM(57030,57042) = 542184210

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Least Common Multiple of 57030 and 57042 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57030 and 57042, than apply into the LCM equation.

GCF(57030,57042) = 6
LCM(57030,57042) = ( 57030 × 57042) / 6
LCM(57030,57042) = 3253105260 / 6
LCM(57030,57042) = 542184210

Least Common Multiple (LCM) of 57030 and 57042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 57030 and 57042. First we will calculate the prime factors of 57030 and 57042.

Prime Factorization of 57030

Prime factors of 57030 are 2, 3, 5, 1901. Prime factorization of 57030 in exponential form is:

57030 = 21 × 31 × 51 × 19011

Prime Factorization of 57042

Prime factors of 57042 are 2, 3, 3169. Prime factorization of 57042 in exponential form is:

57042 = 21 × 32 × 31691

Now multiplying the highest exponent prime factors to calculate the LCM of 57030 and 57042.

LCM(57030,57042) = 21 × 32 × 51 × 19011 × 31691
LCM(57030,57042) = 542184210