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What is the Least Common Multiple of 41095 and 41112?

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 41095 and 41112 is 1689497640.

LCM(41095,41112) = 1689497640

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Least Common Multiple of 41095 and 41112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41095 and 41112, than apply into the LCM equation.

GCF(41095,41112) = 1
LCM(41095,41112) = ( 41095 × 41112) / 1
LCM(41095,41112) = 1689497640 / 1
LCM(41095,41112) = 1689497640

Least Common Multiple (LCM) of 41095 and 41112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41095 and 41112. First we will calculate the prime factors of 41095 and 41112.

Prime Factorization of 41095

Prime factors of 41095 are 5, 8219. Prime factorization of 41095 in exponential form is:

41095 = 51 × 82191

Prime Factorization of 41112

Prime factors of 41112 are 2, 3, 571. Prime factorization of 41112 in exponential form is:

41112 = 23 × 32 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 41095 and 41112.

LCM(41095,41112) = 51 × 82191 × 23 × 32 × 5711
LCM(41095,41112) = 1689497640