What is the Least Common Multiple of 42004 and 42015?
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 42004 and 42015 is 1764798060.
LCM(42004,42015) = 1764798060
Least Common Multiple of 42004 and 42015 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42004 and 42015, than apply into the LCM equation.
GCF(42004,42015) = 1
LCM(42004,42015) = ( 42004 × 42015) / 1
LCM(42004,42015) = 1764798060 / 1
LCM(42004,42015) = 1764798060
Least Common Multiple (LCM) of 42004 and 42015 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42004 and 42015. First we will calculate the prime factors of 42004 and 42015.
Prime Factorization of 42004
Prime factors of 42004 are 2, 10501. Prime factorization of 42004 in exponential form is:
42004 = 22 × 105011
Prime Factorization of 42015
Prime factors of 42015 are 3, 5, 2801. Prime factorization of 42015 in exponential form is:
42015 = 31 × 51 × 28011
Now multiplying the highest exponent prime factors to calculate the LCM of 42004 and 42015.
LCM(42004,42015) = 22 × 105011 × 31 × 51 × 28011
LCM(42004,42015) = 1764798060
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