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What is the Least Common Multiple of 41121 and 41127?

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 41121 and 41127 is 563727789.

LCM(41121,41127) = 563727789

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Least Common Multiple of 41121 and 41127 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41121 and 41127, than apply into the LCM equation.

GCF(41121,41127) = 3
LCM(41121,41127) = ( 41121 × 41127) / 3
LCM(41121,41127) = 1691183367 / 3
LCM(41121,41127) = 563727789

Least Common Multiple (LCM) of 41121 and 41127 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41121 and 41127. First we will calculate the prime factors of 41121 and 41127.

Prime Factorization of 41121

Prime factors of 41121 are 3, 1523. Prime factorization of 41121 in exponential form is:

41121 = 33 × 15231

Prime Factorization of 41127

Prime factors of 41127 are 3, 13709. Prime factorization of 41127 in exponential form is:

41127 = 31 × 137091

Now multiplying the highest exponent prime factors to calculate the LCM of 41121 and 41127.

LCM(41121,41127) = 33 × 15231 × 137091
LCM(41121,41127) = 563727789