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What is the Least Common Multiple of 41485 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 41485 and 41502 is 1721710470.

LCM(41485,41502) = 1721710470

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Least Common Multiple of 41485 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 41485 and 41502, than apply into the LCM equation.

GCF(41485,41502) = 1
LCM(41485,41502) = ( 41485 × 41502) / 1
LCM(41485,41502) = 1721710470 / 1
LCM(41485,41502) = 1721710470

Least Common Multiple (LCM) of 41485 and 41502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41485 and 41502. First we will calculate the prime factors of 41485 and 41502.

Prime Factorization of 41485

Prime factors of 41485 are 5, 8297. Prime factorization of 41485 in exponential form is:

41485 = 51 × 82971

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 41485 and 41502.

LCM(41485,41502) = 51 × 82971 × 21 × 31 × 69171
LCM(41485,41502) = 1721710470