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What is the Least Common Multiple of 56127 and 56142?

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 56127 and 56142 is 1050360678.

LCM(56127,56142) = 1050360678

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Least Common Multiple of 56127 and 56142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56127 and 56142, than apply into the LCM equation.

GCF(56127,56142) = 3
LCM(56127,56142) = ( 56127 × 56142) / 3
LCM(56127,56142) = 3151082034 / 3
LCM(56127,56142) = 1050360678

Least Common Multiple (LCM) of 56127 and 56142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56127 and 56142. First we will calculate the prime factors of 56127 and 56142.

Prime Factorization of 56127

Prime factors of 56127 are 3, 53, 353. Prime factorization of 56127 in exponential form is:

56127 = 31 × 531 × 3531

Prime Factorization of 56142

Prime factors of 56142 are 2, 3, 3119. Prime factorization of 56142 in exponential form is:

56142 = 21 × 32 × 31191

Now multiplying the highest exponent prime factors to calculate the LCM of 56127 and 56142.

LCM(56127,56142) = 32 × 531 × 3531 × 21 × 31191
LCM(56127,56142) = 1050360678