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What is the Least Common Multiple of 6948 and 6958?

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 6948 and 6958 is 24172092.

LCM(6948,6958) = 24172092

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Least Common Multiple of 6948 and 6958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6948 and 6958, than apply into the LCM equation.

GCF(6948,6958) = 2
LCM(6948,6958) = ( 6948 × 6958) / 2
LCM(6948,6958) = 48344184 / 2
LCM(6948,6958) = 24172092

Least Common Multiple (LCM) of 6948 and 6958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6948 and 6958. First we will calculate the prime factors of 6948 and 6958.

Prime Factorization of 6948

Prime factors of 6948 are 2, 3, 193. Prime factorization of 6948 in exponential form is:

6948 = 22 × 32 × 1931

Prime Factorization of 6958

Prime factors of 6958 are 2, 7, 71. Prime factorization of 6958 in exponential form is:

6958 = 21 × 72 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 6948 and 6958.

LCM(6948,6958) = 22 × 32 × 1931 × 72 × 711
LCM(6948,6958) = 24172092