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What is the Least Common Multiple of 6969 and 6975?

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 6969 and 6975 is 16202925.

LCM(6969,6975) = 16202925

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Least Common Multiple of 6969 and 6975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6969 and 6975, than apply into the LCM equation.

GCF(6969,6975) = 3
LCM(6969,6975) = ( 6969 × 6975) / 3
LCM(6969,6975) = 48608775 / 3
LCM(6969,6975) = 16202925

Least Common Multiple (LCM) of 6969 and 6975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6969 and 6975. First we will calculate the prime factors of 6969 and 6975.

Prime Factorization of 6969

Prime factors of 6969 are 3, 23, 101. Prime factorization of 6969 in exponential form is:

6969 = 31 × 231 × 1011

Prime Factorization of 6975

Prime factors of 6975 are 3, 5, 31. Prime factorization of 6975 in exponential form is:

6975 = 32 × 52 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 6969 and 6975.

LCM(6969,6975) = 32 × 231 × 1011 × 52 × 311
LCM(6969,6975) = 16202925