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What is the Least Common Multiple of 55122 and 55140?

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 55140 is 506571180.

LCM(55122,55140) = 506571180

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Least Common Multiple of 55122 and 55140 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 55140, than apply into the LCM equation.

GCF(55122,55140) = 6
LCM(55122,55140) = ( 55122 × 55140) / 6
LCM(55122,55140) = 3039427080 / 6
LCM(55122,55140) = 506571180

Least Common Multiple (LCM) of 55122 and 55140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55122 and 55140. First we will calculate the prime factors of 55122 and 55140.

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 55140

Prime factors of 55140 are 2, 3, 5, 919. Prime factorization of 55140 in exponential form is:

55140 = 22 × 31 × 51 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 55122 and 55140.

LCM(55122,55140) = 22 × 31 × 91871 × 51 × 9191
LCM(55122,55140) = 506571180