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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

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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