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What is the Least Common Multiple of 55132 and 55141?

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 55132 and 55141 is 3040033612.

LCM(55132,55141) = 3040033612

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Least Common Multiple of 55132 and 55141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55132 and 55141, than apply into the LCM equation.

GCF(55132,55141) = 1
LCM(55132,55141) = ( 55132 × 55141) / 1
LCM(55132,55141) = 3040033612 / 1
LCM(55132,55141) = 3040033612

Least Common Multiple (LCM) of 55132 and 55141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55132 and 55141. First we will calculate the prime factors of 55132 and 55141.

Prime Factorization of 55132

Prime factors of 55132 are 2, 7, 11, 179. Prime factorization of 55132 in exponential form is:

55132 = 22 × 71 × 111 × 1791

Prime Factorization of 55141

Prime factors of 55141 are 67, 823. Prime factorization of 55141 in exponential form is:

55141 = 671 × 8231

Now multiplying the highest exponent prime factors to calculate the LCM of 55132 and 55141.

LCM(55132,55141) = 22 × 71 × 111 × 1791 × 671 × 8231
LCM(55132,55141) = 3040033612