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What is the Least Common Multiple of 13912 and 13925?

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 13912 and 13925 is 193724600.

LCM(13912,13925) = 193724600

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Least Common Multiple of 13912 and 13925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13912 and 13925, than apply into the LCM equation.

GCF(13912,13925) = 1
LCM(13912,13925) = ( 13912 × 13925) / 1
LCM(13912,13925) = 193724600 / 1
LCM(13912,13925) = 193724600

Least Common Multiple (LCM) of 13912 and 13925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13912 and 13925. First we will calculate the prime factors of 13912 and 13925.

Prime Factorization of 13912

Prime factors of 13912 are 2, 37, 47. Prime factorization of 13912 in exponential form is:

13912 = 23 × 371 × 471

Prime Factorization of 13925

Prime factors of 13925 are 5, 557. Prime factorization of 13925 in exponential form is:

13925 = 52 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 13912 and 13925.

LCM(13912,13925) = 23 × 371 × 471 × 52 × 5571
LCM(13912,13925) = 193724600