What is the Least Common Multiple of 41282 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 41282 and 41286 is 852184326.
LCM(41282,41286) = 852184326
Least Common Multiple of 41282 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 41282 and 41286, than apply into the LCM equation.
GCF(41282,41286) = 2
LCM(41282,41286) = ( 41282 × 41286) / 2
LCM(41282,41286) = 1704368652 / 2
LCM(41282,41286) = 852184326
Least Common Multiple (LCM) of 41282 and 41286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41282 and 41286. First we will calculate the prime factors of 41282 and 41286.
Prime Factorization of 41282
Prime factors of 41282 are 2, 20641. Prime factorization of 41282 in exponential form is:
41282 = 21 × 206411
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 41282 and 41286.
LCM(41282,41286) = 21 × 206411 × 31 × 71 × 9831
LCM(41282,41286) = 852184326
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