What is the Least Common Multiple of 41411 and 41431?
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 41411 and 41431 is 1715699141.
LCM(41411,41431) = 1715699141
Least Common Multiple of 41411 and 41431 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41411 and 41431, than apply into the LCM equation.
GCF(41411,41431) = 1
LCM(41411,41431) = ( 41411 × 41431) / 1
LCM(41411,41431) = 1715699141 / 1
LCM(41411,41431) = 1715699141
Least Common Multiple (LCM) of 41411 and 41431 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41411 and 41431. First we will calculate the prime factors of 41411 and 41431.
Prime Factorization of 41411
Prime factors of 41411 are 41411. Prime factorization of 41411 in exponential form is:
41411 = 414111
Prime Factorization of 41431
Prime factors of 41431 are 13, 3187. Prime factorization of 41431 in exponential form is:
41431 = 131 × 31871
Now multiplying the highest exponent prime factors to calculate the LCM of 41411 and 41431.
LCM(41411,41431) = 414111 × 131 × 31871
LCM(41411,41431) = 1715699141
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