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What is the Least Common Multiple of 41818 and 41827?

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 41818 and 41827 is 1749121486.

LCM(41818,41827) = 1749121486

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Least Common Multiple of 41818 and 41827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41818 and 41827, than apply into the LCM equation.

GCF(41818,41827) = 1
LCM(41818,41827) = ( 41818 × 41827) / 1
LCM(41818,41827) = 1749121486 / 1
LCM(41818,41827) = 1749121486

Least Common Multiple (LCM) of 41818 and 41827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41818 and 41827. First we will calculate the prime factors of 41818 and 41827.

Prime Factorization of 41818

Prime factors of 41818 are 2, 7, 29, 103. Prime factorization of 41818 in exponential form is:

41818 = 21 × 71 × 291 × 1031

Prime Factorization of 41827

Prime factors of 41827 are 151, 277. Prime factorization of 41827 in exponential form is:

41827 = 1511 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 41818 and 41827.

LCM(41818,41827) = 21 × 71 × 291 × 1031 × 1511 × 2771
LCM(41818,41827) = 1749121486