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What is the Least Common Multiple of 41482 and 41502?

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 41482 and 41502 is 860792982.

LCM(41482,41502) = 860792982

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Least Common Multiple of 41482 and 41502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41482 and 41502, than apply into the LCM equation.

GCF(41482,41502) = 2
LCM(41482,41502) = ( 41482 × 41502) / 2
LCM(41482,41502) = 1721585964 / 2
LCM(41482,41502) = 860792982

Least Common Multiple (LCM) of 41482 and 41502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41482 and 41502. First we will calculate the prime factors of 41482 and 41502.

Prime Factorization of 41482

Prime factors of 41482 are 2, 7, 2963. Prime factorization of 41482 in exponential form is:

41482 = 21 × 71 × 29631

Prime Factorization of 41502

Prime factors of 41502 are 2, 3, 6917. Prime factorization of 41502 in exponential form is:

41502 = 21 × 31 × 69171

Now multiplying the highest exponent prime factors to calculate the LCM of 41482 and 41502.

LCM(41482,41502) = 21 × 71 × 29631 × 31 × 69171
LCM(41482,41502) = 860792982