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What is the Least Common Multiple of 6990 and 7004?

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 6990 and 7004 is 24478980.

LCM(6990,7004) = 24478980

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Least Common Multiple of 6990 and 7004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6990 and 7004, than apply into the LCM equation.

GCF(6990,7004) = 2
LCM(6990,7004) = ( 6990 × 7004) / 2
LCM(6990,7004) = 48957960 / 2
LCM(6990,7004) = 24478980

Least Common Multiple (LCM) of 6990 and 7004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6990 and 7004. First we will calculate the prime factors of 6990 and 7004.

Prime Factorization of 6990

Prime factors of 6990 are 2, 3, 5, 233. Prime factorization of 6990 in exponential form is:

6990 = 21 × 31 × 51 × 2331

Prime Factorization of 7004

Prime factors of 7004 are 2, 17, 103. Prime factorization of 7004 in exponential form is:

7004 = 22 × 171 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 6990 and 7004.

LCM(6990,7004) = 22 × 31 × 51 × 2331 × 171 × 1031
LCM(6990,7004) = 24478980