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What is the Least Common Multiple of 41453 and 41467?

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 41453 and 41467 is 1718931551.

LCM(41453,41467) = 1718931551

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Least Common Multiple of 41453 and 41467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41453 and 41467, than apply into the LCM equation.

GCF(41453,41467) = 1
LCM(41453,41467) = ( 41453 × 41467) / 1
LCM(41453,41467) = 1718931551 / 1
LCM(41453,41467) = 1718931551

Least Common Multiple (LCM) of 41453 and 41467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41453 and 41467. First we will calculate the prime factors of 41453 and 41467.

Prime Factorization of 41453

Prime factors of 41453 are 41453. Prime factorization of 41453 in exponential form is:

41453 = 414531

Prime Factorization of 41467

Prime factors of 41467 are 41467. Prime factorization of 41467 in exponential form is:

41467 = 414671

Now multiplying the highest exponent prime factors to calculate the LCM of 41453 and 41467.

LCM(41453,41467) = 414531 × 414671
LCM(41453,41467) = 1718931551