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What is the Least Common Multiple of 6946 and 6951?

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 6946 and 6951 is 48281646.

LCM(6946,6951) = 48281646

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Least Common Multiple of 6946 and 6951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6946 and 6951, than apply into the LCM equation.

GCF(6946,6951) = 1
LCM(6946,6951) = ( 6946 × 6951) / 1
LCM(6946,6951) = 48281646 / 1
LCM(6946,6951) = 48281646

Least Common Multiple (LCM) of 6946 and 6951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6946 and 6951. First we will calculate the prime factors of 6946 and 6951.

Prime Factorization of 6946

Prime factors of 6946 are 2, 23, 151. Prime factorization of 6946 in exponential form is:

6946 = 21 × 231 × 1511

Prime Factorization of 6951

Prime factors of 6951 are 3, 7, 331. Prime factorization of 6951 in exponential form is:

6951 = 31 × 71 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 6946 and 6951.

LCM(6946,6951) = 21 × 231 × 1511 × 31 × 71 × 3311
LCM(6946,6951) = 48281646