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What is the Least Common Multiple of 41155 and 41168?

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 41155 and 41168 is 1694269040.

LCM(41155,41168) = 1694269040

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Least Common Multiple of 41155 and 41168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41155 and 41168, than apply into the LCM equation.

GCF(41155,41168) = 1
LCM(41155,41168) = ( 41155 × 41168) / 1
LCM(41155,41168) = 1694269040 / 1
LCM(41155,41168) = 1694269040

Least Common Multiple (LCM) of 41155 and 41168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41155 and 41168. First we will calculate the prime factors of 41155 and 41168.

Prime Factorization of 41155

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

41155 = 51 × 82311

Prime Factorization of 41168

Prime factors of 41168 are 2, 31, 83. Prime factorization of 41168 in exponential form is:

41168 = 24 × 311 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 41155 and 41168.

LCM(41155,41168) = 51 × 82311 × 24 × 311 × 831
LCM(41155,41168) = 1694269040