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What is the Least Common Multiple of 41137 and 41155?

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 41137 and 41155 is 1692993235.

LCM(41137,41155) = 1692993235

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Least Common Multiple of 41137 and 41155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41137 and 41155, than apply into the LCM equation.

GCF(41137,41155) = 1
LCM(41137,41155) = ( 41137 × 41155) / 1
LCM(41137,41155) = 1692993235 / 1
LCM(41137,41155) = 1692993235

Least Common Multiple (LCM) of 41137 and 41155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41137 and 41155. First we will calculate the prime factors of 41137 and 41155.

Prime Factorization of 41137

Prime factors of 41137 are 31, 1327. Prime factorization of 41137 in exponential form is:

41137 = 311 × 13271

Prime Factorization of 41155

Prime factors of 41155 are 5, 8231. Prime factorization of 41155 in exponential form is:

41155 = 51 × 82311

Now multiplying the highest exponent prime factors to calculate the LCM of 41137 and 41155.

LCM(41137,41155) = 311 × 13271 × 51 × 82311
LCM(41137,41155) = 1692993235