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What is the Least Common Multiple of 42079 and 42086?

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 42079 and 42086 is 1770936794.

LCM(42079,42086) = 1770936794

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Least Common Multiple of 42079 and 42086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42079 and 42086, than apply into the LCM equation.

GCF(42079,42086) = 1
LCM(42079,42086) = ( 42079 × 42086) / 1
LCM(42079,42086) = 1770936794 / 1
LCM(42079,42086) = 1770936794

Least Common Multiple (LCM) of 42079 and 42086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42079 and 42086. First we will calculate the prime factors of 42079 and 42086.

Prime Factorization of 42079

Prime factors of 42079 are 29, 1451. Prime factorization of 42079 in exponential form is:

42079 = 291 × 14511

Prime Factorization of 42086

Prime factors of 42086 are 2, 11, 1913. Prime factorization of 42086 in exponential form is:

42086 = 21 × 111 × 19131

Now multiplying the highest exponent prime factors to calculate the LCM of 42079 and 42086.

LCM(42079,42086) = 291 × 14511 × 21 × 111 × 19131
LCM(42079,42086) = 1770936794