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What is the Least Common Multiple of 41495 and 41499?

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 41495 and 41499 is 1722001005.

LCM(41495,41499) = 1722001005

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Least Common Multiple of 41495 and 41499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41495 and 41499, than apply into the LCM equation.

GCF(41495,41499) = 1
LCM(41495,41499) = ( 41495 × 41499) / 1
LCM(41495,41499) = 1722001005 / 1
LCM(41495,41499) = 1722001005

Least Common Multiple (LCM) of 41495 and 41499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41495 and 41499. First we will calculate the prime factors of 41495 and 41499.

Prime Factorization of 41495

Prime factors of 41495 are 5, 43, 193. Prime factorization of 41495 in exponential form is:

41495 = 51 × 431 × 1931

Prime Factorization of 41499

Prime factors of 41499 are 3, 29, 53. Prime factorization of 41499 in exponential form is:

41499 = 33 × 291 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 41495 and 41499.

LCM(41495,41499) = 51 × 431 × 1931 × 33 × 291 × 531
LCM(41495,41499) = 1722001005