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What is the Least Common Multiple of 41053 and 41060?

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 41053 and 41060 is 1685636180.

LCM(41053,41060) = 1685636180

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Least Common Multiple of 41053 and 41060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41053 and 41060, than apply into the LCM equation.

GCF(41053,41060) = 1
LCM(41053,41060) = ( 41053 × 41060) / 1
LCM(41053,41060) = 1685636180 / 1
LCM(41053,41060) = 1685636180

Least Common Multiple (LCM) of 41053 and 41060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41053 and 41060. First we will calculate the prime factors of 41053 and 41060.

Prime Factorization of 41053

Prime factors of 41053 are 61, 673. Prime factorization of 41053 in exponential form is:

41053 = 611 × 6731

Prime Factorization of 41060

Prime factors of 41060 are 2, 5, 2053. Prime factorization of 41060 in exponential form is:

41060 = 22 × 51 × 20531

Now multiplying the highest exponent prime factors to calculate the LCM of 41053 and 41060.

LCM(41053,41060) = 611 × 6731 × 22 × 51 × 20531
LCM(41053,41060) = 1685636180