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What is the Least Common Multiple of 3425 and 3432?

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 3425 and 3432 is 11754600.

LCM(3425,3432) = 11754600

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Least Common Multiple of 3425 and 3432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3425 and 3432, than apply into the LCM equation.

GCF(3425,3432) = 1
LCM(3425,3432) = ( 3425 × 3432) / 1
LCM(3425,3432) = 11754600 / 1
LCM(3425,3432) = 11754600

Least Common Multiple (LCM) of 3425 and 3432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3425 and 3432. First we will calculate the prime factors of 3425 and 3432.

Prime Factorization of 3425

Prime factors of 3425 are 5, 137. Prime factorization of 3425 in exponential form is:

3425 = 52 × 1371

Prime Factorization of 3432

Prime factors of 3432 are 2, 3, 11, 13. Prime factorization of 3432 in exponential form is:

3432 = 23 × 31 × 111 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 3425 and 3432.

LCM(3425,3432) = 52 × 1371 × 23 × 31 × 111 × 131
LCM(3425,3432) = 11754600