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What is the Least Common Multiple of 4465 and 4485?

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 4465 and 4485 is 4005105.

LCM(4465,4485) = 4005105

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Least Common Multiple of 4465 and 4485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4465 and 4485, than apply into the LCM equation.

GCF(4465,4485) = 5
LCM(4465,4485) = ( 4465 × 4485) / 5
LCM(4465,4485) = 20025525 / 5
LCM(4465,4485) = 4005105

Least Common Multiple (LCM) of 4465 and 4485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4465 and 4485. First we will calculate the prime factors of 4465 and 4485.

Prime Factorization of 4465

Prime factors of 4465 are 5, 19, 47. Prime factorization of 4465 in exponential form is:

4465 = 51 × 191 × 471

Prime Factorization of 4485

Prime factors of 4485 are 3, 5, 13, 23. Prime factorization of 4485 in exponential form is:

4485 = 31 × 51 × 131 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 4465 and 4485.

LCM(4465,4485) = 51 × 191 × 471 × 31 × 131 × 231
LCM(4465,4485) = 4005105