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What is the Least Common Multiple of 36447 and 36465?

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 36447 and 36465 is 443013285.

LCM(36447,36465) = 443013285

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Least Common Multiple of 36447 and 36465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36447 and 36465, than apply into the LCM equation.

GCF(36447,36465) = 3
LCM(36447,36465) = ( 36447 × 36465) / 3
LCM(36447,36465) = 1329039855 / 3
LCM(36447,36465) = 443013285

Least Common Multiple (LCM) of 36447 and 36465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36447 and 36465. First we will calculate the prime factors of 36447 and 36465.

Prime Factorization of 36447

Prime factors of 36447 are 3, 12149. Prime factorization of 36447 in exponential form is:

36447 = 31 × 121491

Prime Factorization of 36465

Prime factors of 36465 are 3, 5, 11, 13, 17. Prime factorization of 36465 in exponential form is:

36465 = 31 × 51 × 111 × 131 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 36447 and 36465.

LCM(36447,36465) = 31 × 121491 × 51 × 111 × 131 × 171
LCM(36447,36465) = 443013285