What is the Least Common Multiple of 41281 and 41286?
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 41281 and 41286 is 1704327366.
LCM(41281,41286) = 1704327366
Least Common Multiple of 41281 and 41286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41281 and 41286, than apply into the LCM equation.
GCF(41281,41286) = 1
LCM(41281,41286) = ( 41281 × 41286) / 1
LCM(41281,41286) = 1704327366 / 1
LCM(41281,41286) = 1704327366
Least Common Multiple (LCM) of 41281 and 41286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41281 and 41286. First we will calculate the prime factors of 41281 and 41286.
Prime Factorization of 41281
Prime factors of 41281 are 41281. Prime factorization of 41281 in exponential form is:
41281 = 412811
Prime Factorization of 41286
Prime factors of 41286 are 2, 3, 7, 983. Prime factorization of 41286 in exponential form is:
41286 = 21 × 31 × 71 × 9831
Now multiplying the highest exponent prime factors to calculate the LCM of 41281 and 41286.
LCM(41281,41286) = 412811 × 21 × 31 × 71 × 9831
LCM(41281,41286) = 1704327366
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