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What is the Least Common Multiple of 7003 and 7020?

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 7003 and 7020 is 49161060.

LCM(7003,7020) = 49161060

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Least Common Multiple of 7003 and 7020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7003 and 7020, than apply into the LCM equation.

GCF(7003,7020) = 1
LCM(7003,7020) = ( 7003 × 7020) / 1
LCM(7003,7020) = 49161060 / 1
LCM(7003,7020) = 49161060

Least Common Multiple (LCM) of 7003 and 7020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7003 and 7020. First we will calculate the prime factors of 7003 and 7020.

Prime Factorization of 7003

Prime factors of 7003 are 47, 149. Prime factorization of 7003 in exponential form is:

7003 = 471 × 1491

Prime Factorization of 7020

Prime factors of 7020 are 2, 3, 5, 13. Prime factorization of 7020 in exponential form is:

7020 = 22 × 33 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 7003 and 7020.

LCM(7003,7020) = 471 × 1491 × 22 × 33 × 51 × 131
LCM(7003,7020) = 49161060