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What is the Least Common Multiple of 4455 and 4465?

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 4455 and 4465 is 3978315.

LCM(4455,4465) = 3978315

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Least Common Multiple of 4455 and 4465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4455 and 4465, than apply into the LCM equation.

GCF(4455,4465) = 5
LCM(4455,4465) = ( 4455 × 4465) / 5
LCM(4455,4465) = 19891575 / 5
LCM(4455,4465) = 3978315

Least Common Multiple (LCM) of 4455 and 4465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4455 and 4465. First we will calculate the prime factors of 4455 and 4465.

Prime Factorization of 4455

Prime factors of 4455 are 3, 5, 11. Prime factorization of 4455 in exponential form is:

4455 = 34 × 51 × 111

Prime Factorization of 4465

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

4465 = 51 × 191 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 4455 and 4465.

LCM(4455,4465) = 34 × 51 × 111 × 191 × 471
LCM(4455,4465) = 3978315