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What is the Least Common Multiple of 55134 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 55134 and 55140 is 506681460.

LCM(55134,55140) = 506681460

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Least Common Multiple of 55134 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 55134 and 55140, than apply into the LCM equation.

GCF(55134,55140) = 6
LCM(55134,55140) = ( 55134 × 55140) / 6
LCM(55134,55140) = 3040088760 / 6
LCM(55134,55140) = 506681460

Least Common Multiple (LCM) of 55134 and 55140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55134 and 55140. First we will calculate the prime factors of 55134 and 55140.

Prime Factorization of 55134

Prime factors of 55134 are 2, 3, 1021. Prime factorization of 55134 in exponential form is:

55134 = 21 × 33 × 10211

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 55134 and 55140.

LCM(55134,55140) = 22 × 33 × 10211 × 51 × 9191
LCM(55134,55140) = 506681460