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What is the Least Common Multiple of 4006 and 4010?

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 4006 and 4010 is 8032030.

LCM(4006,4010) = 8032030

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Least Common Multiple of 4006 and 4010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4006 and 4010, than apply into the LCM equation.

GCF(4006,4010) = 2
LCM(4006,4010) = ( 4006 × 4010) / 2
LCM(4006,4010) = 16064060 / 2
LCM(4006,4010) = 8032030

Least Common Multiple (LCM) of 4006 and 4010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4006 and 4010. First we will calculate the prime factors of 4006 and 4010.

Prime Factorization of 4006

Prime factors of 4006 are 2, 2003. Prime factorization of 4006 in exponential form is:

4006 = 21 × 20031

Prime Factorization of 4010

Prime factors of 4010 are 2, 5, 401. Prime factorization of 4010 in exponential form is:

4010 = 21 × 51 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 4006 and 4010.

LCM(4006,4010) = 21 × 20031 × 51 × 4011
LCM(4006,4010) = 8032030