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What is the Least Common Multiple of 41012 and 41030?

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 41012 and 41030 is 841361180.

LCM(41012,41030) = 841361180

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Least Common Multiple of 41012 and 41030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41012 and 41030, than apply into the LCM equation.

GCF(41012,41030) = 2
LCM(41012,41030) = ( 41012 × 41030) / 2
LCM(41012,41030) = 1682722360 / 2
LCM(41012,41030) = 841361180

Least Common Multiple (LCM) of 41012 and 41030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41012 and 41030. First we will calculate the prime factors of 41012 and 41030.

Prime Factorization of 41012

Prime factors of 41012 are 2, 10253. Prime factorization of 41012 in exponential form is:

41012 = 22 × 102531

Prime Factorization of 41030

Prime factors of 41030 are 2, 5, 11, 373. Prime factorization of 41030 in exponential form is:

41030 = 21 × 51 × 111 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 41012 and 41030.

LCM(41012,41030) = 22 × 102531 × 51 × 111 × 3731
LCM(41012,41030) = 841361180