What is the Least Common Multiple of 41993 and 42010?
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 41993 and 42010 is 1764125930.
LCM(41993,42010) = 1764125930
Least Common Multiple of 41993 and 42010 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41993 and 42010, than apply into the LCM equation.
GCF(41993,42010) = 1
LCM(41993,42010) = ( 41993 × 42010) / 1
LCM(41993,42010) = 1764125930 / 1
LCM(41993,42010) = 1764125930
Least Common Multiple (LCM) of 41993 and 42010 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41993 and 42010. First we will calculate the prime factors of 41993 and 42010.
Prime Factorization of 41993
Prime factors of 41993 are 7, 857. Prime factorization of 41993 in exponential form is:
41993 = 72 × 8571
Prime Factorization of 42010
Prime factors of 42010 are 2, 5, 4201. Prime factorization of 42010 in exponential form is:
42010 = 21 × 51 × 42011
Now multiplying the highest exponent prime factors to calculate the LCM of 41993 and 42010.
LCM(41993,42010) = 72 × 8571 × 21 × 51 × 42011
LCM(41993,42010) = 1764125930
Related Least Common Multiples of 41993
- LCM of 41993 and 41997
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- LCM of 41993 and 42001
- LCM of 41993 and 42002
- LCM of 41993 and 42003
- LCM of 41993 and 42004
- LCM of 41993 and 42005
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- LCM of 41993 and 42007
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- LCM of 41993 and 42009
- LCM of 41993 and 42010
- LCM of 41993 and 42011
- LCM of 41993 and 42012
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Related Least Common Multiples of 42010
- LCM of 42010 and 42014
- LCM of 42010 and 42015
- LCM of 42010 and 42016
- LCM of 42010 and 42017
- LCM of 42010 and 42018
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- LCM of 42010 and 42030