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What is the Least Common Multiple of 6946 and 6953?

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 6953 is 48295538.

LCM(6946,6953) = 48295538

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Least Common Multiple of 6946 and 6953 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 6953, than apply into the LCM equation.

GCF(6946,6953) = 1
LCM(6946,6953) = ( 6946 × 6953) / 1
LCM(6946,6953) = 48295538 / 1
LCM(6946,6953) = 48295538

Least Common Multiple (LCM) of 6946 and 6953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6946 and 6953. First we will calculate the prime factors of 6946 and 6953.

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 6953

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

6953 = 171 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 6946 and 6953.

LCM(6946,6953) = 21 × 231 × 1511 × 171 × 4091
LCM(6946,6953) = 48295538