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What is the Least Common Multiple of 13662 and 13675?

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 13662 and 13675 is 186827850.

LCM(13662,13675) = 186827850

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Least Common Multiple of 13662 and 13675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13662 and 13675, than apply into the LCM equation.

GCF(13662,13675) = 1
LCM(13662,13675) = ( 13662 × 13675) / 1
LCM(13662,13675) = 186827850 / 1
LCM(13662,13675) = 186827850

Least Common Multiple (LCM) of 13662 and 13675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13662 and 13675. First we will calculate the prime factors of 13662 and 13675.

Prime Factorization of 13662

Prime factors of 13662 are 2, 3, 11, 23. Prime factorization of 13662 in exponential form is:

13662 = 21 × 33 × 111 × 231

Prime Factorization of 13675

Prime factors of 13675 are 5, 547. Prime factorization of 13675 in exponential form is:

13675 = 52 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 13662 and 13675.

LCM(13662,13675) = 21 × 33 × 111 × 231 × 52 × 5471
LCM(13662,13675) = 186827850