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What is the Least Common Multiple of 6973 and 6990?

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 6973 and 6990 is 48741270.

LCM(6973,6990) = 48741270

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Least Common Multiple of 6973 and 6990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6973 and 6990, than apply into the LCM equation.

GCF(6973,6990) = 1
LCM(6973,6990) = ( 6973 × 6990) / 1
LCM(6973,6990) = 48741270 / 1
LCM(6973,6990) = 48741270

Least Common Multiple (LCM) of 6973 and 6990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6973 and 6990. First we will calculate the prime factors of 6973 and 6990.

Prime Factorization of 6973

Prime factors of 6973 are 19, 367. Prime factorization of 6973 in exponential form is:

6973 = 191 × 3671

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6973 and 6990.

LCM(6973,6990) = 191 × 3671 × 21 × 31 × 51 × 2331
LCM(6973,6990) = 48741270