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What is the Least Common Multiple of 41391 and 41410?

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 41391 and 41410 is 1714001310.

LCM(41391,41410) = 1714001310

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Least Common Multiple of 41391 and 41410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41391 and 41410, than apply into the LCM equation.

GCF(41391,41410) = 1
LCM(41391,41410) = ( 41391 × 41410) / 1
LCM(41391,41410) = 1714001310 / 1
LCM(41391,41410) = 1714001310

Least Common Multiple (LCM) of 41391 and 41410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41391 and 41410. First we will calculate the prime factors of 41391 and 41410.

Prime Factorization of 41391

Prime factors of 41391 are 3, 7, 73. Prime factorization of 41391 in exponential form is:

41391 = 34 × 71 × 731

Prime Factorization of 41410

Prime factors of 41410 are 2, 5, 41, 101. Prime factorization of 41410 in exponential form is:

41410 = 21 × 51 × 411 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 41391 and 41410.

LCM(41391,41410) = 34 × 71 × 731 × 21 × 51 × 411 × 1011
LCM(41391,41410) = 1714001310