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What is the Least Common Multiple of 41855 and 41860?

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 41855 and 41860 is 350410060.

LCM(41855,41860) = 350410060

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Least Common Multiple of 41855 and 41860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41855 and 41860, than apply into the LCM equation.

GCF(41855,41860) = 5
LCM(41855,41860) = ( 41855 × 41860) / 5
LCM(41855,41860) = 1752050300 / 5
LCM(41855,41860) = 350410060

Least Common Multiple (LCM) of 41855 and 41860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41855 and 41860. First we will calculate the prime factors of 41855 and 41860.

Prime Factorization of 41855

Prime factors of 41855 are 5, 11, 761. Prime factorization of 41855 in exponential form is:

41855 = 51 × 111 × 7611

Prime Factorization of 41860

Prime factors of 41860 are 2, 5, 7, 13, 23. Prime factorization of 41860 in exponential form is:

41860 = 22 × 51 × 71 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 41855 and 41860.

LCM(41855,41860) = 51 × 111 × 7611 × 22 × 71 × 131 × 231
LCM(41855,41860) = 350410060