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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

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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