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What is the Least Common Multiple of 6940 and 6956?

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 6940 and 6956 is 12068660.

LCM(6940,6956) = 12068660

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Least Common Multiple of 6940 and 6956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6940 and 6956, than apply into the LCM equation.

GCF(6940,6956) = 4
LCM(6940,6956) = ( 6940 × 6956) / 4
LCM(6940,6956) = 48274640 / 4
LCM(6940,6956) = 12068660

Least Common Multiple (LCM) of 6940 and 6956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6940 and 6956. First we will calculate the prime factors of 6940 and 6956.

Prime Factorization of 6940

Prime factors of 6940 are 2, 5, 347. Prime factorization of 6940 in exponential form is:

6940 = 22 × 51 × 3471

Prime Factorization of 6956

Prime factors of 6956 are 2, 37, 47. Prime factorization of 6956 in exponential form is:

6956 = 22 × 371 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 6940 and 6956.

LCM(6940,6956) = 22 × 51 × 3471 × 371 × 471
LCM(6940,6956) = 12068660