What is the Least Common Multiple of 41994 and 42014?
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 41994 and 42014 is 882167958.
LCM(41994,42014) = 882167958
Least Common Multiple of 41994 and 42014 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41994 and 42014, than apply into the LCM equation.
GCF(41994,42014) = 2
LCM(41994,42014) = ( 41994 × 42014) / 2
LCM(41994,42014) = 1764335916 / 2
LCM(41994,42014) = 882167958
Least Common Multiple (LCM) of 41994 and 42014 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41994 and 42014. First we will calculate the prime factors of 41994 and 42014.
Prime Factorization of 41994
Prime factors of 41994 are 2, 3, 2333. Prime factorization of 41994 in exponential form is:
41994 = 21 × 32 × 23331
Prime Factorization of 42014
Prime factors of 42014 are 2, 7, 3001. Prime factorization of 42014 in exponential form is:
42014 = 21 × 71 × 30011
Now multiplying the highest exponent prime factors to calculate the LCM of 41994 and 42014.
LCM(41994,42014) = 21 × 32 × 23331 × 71 × 30011
LCM(41994,42014) = 882167958
Related Least Common Multiples of 41994
- LCM of 41994 and 41998
- LCM of 41994 and 41999
- LCM of 41994 and 42000
- LCM of 41994 and 42001
- LCM of 41994 and 42002
- LCM of 41994 and 42003
- LCM of 41994 and 42004
- LCM of 41994 and 42005
- LCM of 41994 and 42006
- LCM of 41994 and 42007
- LCM of 41994 and 42008
- LCM of 41994 and 42009
- LCM of 41994 and 42010
- LCM of 41994 and 42011
- LCM of 41994 and 42012
- LCM of 41994 and 42013
- LCM of 41994 and 42014
Related Least Common Multiples of 42014
- LCM of 42014 and 42018
- LCM of 42014 and 42019
- LCM of 42014 and 42020
- LCM of 42014 and 42021
- LCM of 42014 and 42022
- LCM of 42014 and 42023
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- LCM of 42014 and 42030
- LCM of 42014 and 42031
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