What is the Least Common Multiple of 42005 and 42012?
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 42005 and 42012 is 1764714060.
LCM(42005,42012) = 1764714060
Least Common Multiple of 42005 and 42012 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42005 and 42012, than apply into the LCM equation.
GCF(42005,42012) = 1
LCM(42005,42012) = ( 42005 × 42012) / 1
LCM(42005,42012) = 1764714060 / 1
LCM(42005,42012) = 1764714060
Least Common Multiple (LCM) of 42005 and 42012 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42005 and 42012. First we will calculate the prime factors of 42005 and 42012.
Prime Factorization of 42005
Prime factors of 42005 are 5, 31, 271. Prime factorization of 42005 in exponential form is:
42005 = 51 × 311 × 2711
Prime Factorization of 42012
Prime factors of 42012 are 2, 3, 389. Prime factorization of 42012 in exponential form is:
42012 = 22 × 33 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 42005 and 42012.
LCM(42005,42012) = 51 × 311 × 2711 × 22 × 33 × 3891
LCM(42005,42012) = 1764714060
Related Least Common Multiples of 42005
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