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What is the Least Common Multiple of 13938 and 13950?

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 13938 and 13950 is 32405850.

LCM(13938,13950) = 32405850

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Least Common Multiple of 13938 and 13950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13938 and 13950, than apply into the LCM equation.

GCF(13938,13950) = 6
LCM(13938,13950) = ( 13938 × 13950) / 6
LCM(13938,13950) = 194435100 / 6
LCM(13938,13950) = 32405850

Least Common Multiple (LCM) of 13938 and 13950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13938 and 13950. First we will calculate the prime factors of 13938 and 13950.

Prime Factorization of 13938

Prime factors of 13938 are 2, 3, 23, 101. Prime factorization of 13938 in exponential form is:

13938 = 21 × 31 × 231 × 1011

Prime Factorization of 13950

Prime factors of 13950 are 2, 3, 5, 31. Prime factorization of 13950 in exponential form is:

13950 = 21 × 32 × 52 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 13938 and 13950.

LCM(13938,13950) = 21 × 32 × 231 × 1011 × 52 × 311
LCM(13938,13950) = 32405850