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What is the Least Common Multiple of 13948 and 13964?

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 13948 and 13964 is 48692468.

LCM(13948,13964) = 48692468

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Least Common Multiple of 13948 and 13964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13948 and 13964, than apply into the LCM equation.

GCF(13948,13964) = 4
LCM(13948,13964) = ( 13948 × 13964) / 4
LCM(13948,13964) = 194769872 / 4
LCM(13948,13964) = 48692468

Least Common Multiple (LCM) of 13948 and 13964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13948 and 13964. First we will calculate the prime factors of 13948 and 13964.

Prime Factorization of 13948

Prime factors of 13948 are 2, 11, 317. Prime factorization of 13948 in exponential form is:

13948 = 22 × 111 × 3171

Prime Factorization of 13964

Prime factors of 13964 are 2, 3491. Prime factorization of 13964 in exponential form is:

13964 = 22 × 34911

Now multiplying the highest exponent prime factors to calculate the LCM of 13948 and 13964.

LCM(13948,13964) = 22 × 111 × 3171 × 34911
LCM(13948,13964) = 48692468