What is the Least Common Multiple of 41992 and 42009?
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 41992 and 42009 is 1764041928.
LCM(41992,42009) = 1764041928
Least Common Multiple of 41992 and 42009 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41992 and 42009, than apply into the LCM equation.
GCF(41992,42009) = 1
LCM(41992,42009) = ( 41992 × 42009) / 1
LCM(41992,42009) = 1764041928 / 1
LCM(41992,42009) = 1764041928
Least Common Multiple (LCM) of 41992 and 42009 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41992 and 42009. First we will calculate the prime factors of 41992 and 42009.
Prime Factorization of 41992
Prime factors of 41992 are 2, 29, 181. Prime factorization of 41992 in exponential form is:
41992 = 23 × 291 × 1811
Prime Factorization of 42009
Prime factors of 42009 are 3, 11, 19, 67. Prime factorization of 42009 in exponential form is:
42009 = 31 × 111 × 191 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 41992 and 42009.
LCM(41992,42009) = 23 × 291 × 1811 × 31 × 111 × 191 × 671
LCM(41992,42009) = 1764041928
Related Least Common Multiples of 41992
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- LCM of 41992 and 41997
- LCM of 41992 and 41998
- LCM of 41992 and 41999
- LCM of 41992 and 42000
- LCM of 41992 and 42001
- LCM of 41992 and 42002
- LCM of 41992 and 42003
- LCM of 41992 and 42004
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- LCM of 41992 and 42006
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- LCM of 41992 and 42008
- LCM of 41992 and 42009
- LCM of 41992 and 42010
- LCM of 41992 and 42011
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Related Least Common Multiples of 42009
- LCM of 42009 and 42013
- LCM of 42009 and 42014
- LCM of 42009 and 42015
- LCM of 42009 and 42016
- LCM of 42009 and 42017
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