What is the Least Common Multiple of 42002 and 42007?
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 42002 and 42007 is 1764378014.
LCM(42002,42007) = 1764378014
Least Common Multiple of 42002 and 42007 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42002 and 42007, than apply into the LCM equation.
GCF(42002,42007) = 1
LCM(42002,42007) = ( 42002 × 42007) / 1
LCM(42002,42007) = 1764378014 / 1
LCM(42002,42007) = 1764378014
Least Common Multiple (LCM) of 42002 and 42007 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42002 and 42007. First we will calculate the prime factors of 42002 and 42007.
Prime Factorization of 42002
Prime factors of 42002 are 2, 21001. Prime factorization of 42002 in exponential form is:
42002 = 21 × 210011
Prime Factorization of 42007
Prime factors of 42007 are 7, 17, 353. Prime factorization of 42007 in exponential form is:
42007 = 71 × 171 × 3531
Now multiplying the highest exponent prime factors to calculate the LCM of 42002 and 42007.
LCM(42002,42007) = 21 × 210011 × 71 × 171 × 3531
LCM(42002,42007) = 1764378014
Related Least Common Multiples of 42002
- LCM of 42002 and 42006
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- LCM of 42002 and 42008
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- LCM of 42002 and 42010
- LCM of 42002 and 42011
- LCM of 42002 and 42012
- LCM of 42002 and 42013
- LCM of 42002 and 42014
- LCM of 42002 and 42015
- LCM of 42002 and 42016
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- LCM of 42002 and 42018
- LCM of 42002 and 42019
- LCM of 42002 and 42020
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Related Least Common Multiples of 42007
- LCM of 42007 and 42011
- LCM of 42007 and 42012
- LCM of 42007 and 42013
- LCM of 42007 and 42014
- LCM of 42007 and 42015
- LCM of 42007 and 42016
- LCM of 42007 and 42017
- LCM of 42007 and 42018
- LCM of 42007 and 42019
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