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What is the Least Common Multiple of 13988 and 13996?

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 13988 and 13996 is 48944012.

LCM(13988,13996) = 48944012

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Least Common Multiple of 13988 and 13996 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13988 and 13996, than apply into the LCM equation.

GCF(13988,13996) = 4
LCM(13988,13996) = ( 13988 × 13996) / 4
LCM(13988,13996) = 195776048 / 4
LCM(13988,13996) = 48944012

Least Common Multiple (LCM) of 13988 and 13996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13988 and 13996. First we will calculate the prime factors of 13988 and 13996.

Prime Factorization of 13988

Prime factors of 13988 are 2, 13, 269. Prime factorization of 13988 in exponential form is:

13988 = 22 × 131 × 2691

Prime Factorization of 13996

Prime factors of 13996 are 2, 3499. Prime factorization of 13996 in exponential form is:

13996 = 22 × 34991

Now multiplying the highest exponent prime factors to calculate the LCM of 13988 and 13996.

LCM(13988,13996) = 22 × 131 × 2691 × 34991
LCM(13988,13996) = 48944012