What is the Least Common Multiple of 41999 and 42016?
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 41999 and 42016 is 1764629984.
LCM(41999,42016) = 1764629984
Least Common Multiple of 41999 and 42016 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41999 and 42016, than apply into the LCM equation.
GCF(41999,42016) = 1
LCM(41999,42016) = ( 41999 × 42016) / 1
LCM(41999,42016) = 1764629984 / 1
LCM(41999,42016) = 1764629984
Least Common Multiple (LCM) of 41999 and 42016 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41999 and 42016. First we will calculate the prime factors of 41999 and 42016.
Prime Factorization of 41999
Prime factors of 41999 are 41999. Prime factorization of 41999 in exponential form is:
41999 = 419991
Prime Factorization of 42016
Prime factors of 42016 are 2, 13, 101. Prime factorization of 42016 in exponential form is:
42016 = 25 × 131 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 41999 and 42016.
LCM(41999,42016) = 419991 × 25 × 131 × 1011
LCM(41999,42016) = 1764629984
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