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What is the Least Common Multiple of 6953 and 6957?

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 6953 and 6957 is 48372021.

LCM(6953,6957) = 48372021

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Least Common Multiple of 6953 and 6957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6953 and 6957, than apply into the LCM equation.

GCF(6953,6957) = 1
LCM(6953,6957) = ( 6953 × 6957) / 1
LCM(6953,6957) = 48372021 / 1
LCM(6953,6957) = 48372021

Least Common Multiple (LCM) of 6953 and 6957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6953 and 6957. First we will calculate the prime factors of 6953 and 6957.

Prime Factorization of 6953

Prime factors of 6953 are 17, 409. Prime factorization of 6953 in exponential form is:

6953 = 171 × 4091

Prime Factorization of 6957

Prime factors of 6957 are 3, 773. Prime factorization of 6957 in exponential form is:

6957 = 32 × 7731

Now multiplying the highest exponent prime factors to calculate the LCM of 6953 and 6957.

LCM(6953,6957) = 171 × 4091 × 32 × 7731
LCM(6953,6957) = 48372021