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What is the Least Common Multiple of 13632 and 13651?

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 13632 and 13651 is 186090432.

LCM(13632,13651) = 186090432

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Least Common Multiple of 13632 and 13651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13632 and 13651, than apply into the LCM equation.

GCF(13632,13651) = 1
LCM(13632,13651) = ( 13632 × 13651) / 1
LCM(13632,13651) = 186090432 / 1
LCM(13632,13651) = 186090432

Least Common Multiple (LCM) of 13632 and 13651 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13632 and 13651. First we will calculate the prime factors of 13632 and 13651.

Prime Factorization of 13632

Prime factors of 13632 are 2, 3, 71. Prime factorization of 13632 in exponential form is:

13632 = 26 × 31 × 711

Prime Factorization of 13651

Prime factors of 13651 are 11, 17, 73. Prime factorization of 13651 in exponential form is:

13651 = 111 × 171 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 13632 and 13651.

LCM(13632,13651) = 26 × 31 × 711 × 111 × 171 × 731
LCM(13632,13651) = 186090432