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
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
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