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What is the Least Common Multiple of 41061 and 41069?

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 41061 and 41069 is 1686334209.

LCM(41061,41069) = 1686334209

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Least Common Multiple of 41061 and 41069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41061 and 41069, than apply into the LCM equation.

GCF(41061,41069) = 1
LCM(41061,41069) = ( 41061 × 41069) / 1
LCM(41061,41069) = 1686334209 / 1
LCM(41061,41069) = 1686334209

Least Common Multiple (LCM) of 41061 and 41069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41061 and 41069. First we will calculate the prime factors of 41061 and 41069.

Prime Factorization of 41061

Prime factors of 41061 are 3, 13687. Prime factorization of 41061 in exponential form is:

41061 = 31 × 136871

Prime Factorization of 41069

Prime factors of 41069 are 7, 5867. Prime factorization of 41069 in exponential form is:

41069 = 71 × 58671

Now multiplying the highest exponent prime factors to calculate the LCM of 41061 and 41069.

LCM(41061,41069) = 31 × 136871 × 71 × 58671
LCM(41061,41069) = 1686334209