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What is the Least Common Multiple of 55122 and 55142?

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 55122 and 55142 is 1519768662.

LCM(55122,55142) = 1519768662

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Least Common Multiple of 55122 and 55142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55122 and 55142, than apply into the LCM equation.

GCF(55122,55142) = 2
LCM(55122,55142) = ( 55122 × 55142) / 2
LCM(55122,55142) = 3039537324 / 2
LCM(55122,55142) = 1519768662

Least Common Multiple (LCM) of 55122 and 55142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55122 and 55142. First we will calculate the prime factors of 55122 and 55142.

Prime Factorization of 55122

Prime factors of 55122 are 2, 3, 9187. Prime factorization of 55122 in exponential form is:

55122 = 21 × 31 × 91871

Prime Factorization of 55142

Prime factors of 55142 are 2, 79, 349. Prime factorization of 55142 in exponential form is:

55142 = 21 × 791 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 55122 and 55142.

LCM(55122,55142) = 21 × 31 × 91871 × 791 × 3491
LCM(55122,55142) = 1519768662