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What is the Least Common Multiple of 55146 and 55155?

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 55146 and 55155 is 1013859210.

LCM(55146,55155) = 1013859210

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Least Common Multiple of 55146 and 55155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55146 and 55155, than apply into the LCM equation.

GCF(55146,55155) = 3
LCM(55146,55155) = ( 55146 × 55155) / 3
LCM(55146,55155) = 3041577630 / 3
LCM(55146,55155) = 1013859210

Least Common Multiple (LCM) of 55146 and 55155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55146 and 55155. First we will calculate the prime factors of 55146 and 55155.

Prime Factorization of 55146

Prime factors of 55146 are 2, 3, 7, 13, 101. Prime factorization of 55146 in exponential form is:

55146 = 21 × 31 × 71 × 131 × 1011

Prime Factorization of 55155

Prime factors of 55155 are 3, 5, 3677. Prime factorization of 55155 in exponential form is:

55155 = 31 × 51 × 36771

Now multiplying the highest exponent prime factors to calculate the LCM of 55146 and 55155.

LCM(55146,55155) = 21 × 31 × 71 × 131 × 1011 × 51 × 36771
LCM(55146,55155) = 1013859210