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What is the Least Common Multiple of 6949 and 6964?

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 6949 and 6964 is 48392836.

LCM(6949,6964) = 48392836

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Least Common Multiple of 6949 and 6964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6949 and 6964, than apply into the LCM equation.

GCF(6949,6964) = 1
LCM(6949,6964) = ( 6949 × 6964) / 1
LCM(6949,6964) = 48392836 / 1
LCM(6949,6964) = 48392836

Least Common Multiple (LCM) of 6949 and 6964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6949 and 6964. First we will calculate the prime factors of 6949 and 6964.

Prime Factorization of 6949

Prime factors of 6949 are 6949. Prime factorization of 6949 in exponential form is:

6949 = 69491

Prime Factorization of 6964

Prime factors of 6964 are 2, 1741. Prime factorization of 6964 in exponential form is:

6964 = 22 × 17411

Now multiplying the highest exponent prime factors to calculate the LCM of 6949 and 6964.

LCM(6949,6964) = 69491 × 22 × 17411
LCM(6949,6964) = 48392836