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What is the Least Common Multiple of 41801 and 41815?

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 41801 and 41815 is 1747908815.

LCM(41801,41815) = 1747908815

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Least Common Multiple of 41801 and 41815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41801 and 41815, than apply into the LCM equation.

GCF(41801,41815) = 1
LCM(41801,41815) = ( 41801 × 41815) / 1
LCM(41801,41815) = 1747908815 / 1
LCM(41801,41815) = 1747908815

Least Common Multiple (LCM) of 41801 and 41815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41801 and 41815. First we will calculate the prime factors of 41801 and 41815.

Prime Factorization of 41801

Prime factors of 41801 are 41801. Prime factorization of 41801 in exponential form is:

41801 = 418011

Prime Factorization of 41815

Prime factors of 41815 are 5, 8363. Prime factorization of 41815 in exponential form is:

41815 = 51 × 83631

Now multiplying the highest exponent prime factors to calculate the LCM of 41801 and 41815.

LCM(41801,41815) = 418011 × 51 × 83631
LCM(41801,41815) = 1747908815