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What is the Least Common Multiple of 4456 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 4456 and 4465 is 19896040.

LCM(4456,4465) = 19896040

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Least Common Multiple of 4456 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 4456 and 4465, than apply into the LCM equation.

GCF(4456,4465) = 1
LCM(4456,4465) = ( 4456 × 4465) / 1
LCM(4456,4465) = 19896040 / 1
LCM(4456,4465) = 19896040

Least Common Multiple (LCM) of 4456 and 4465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4456 and 4465. First we will calculate the prime factors of 4456 and 4465.

Prime Factorization of 4456

Prime factors of 4456 are 2, 557. Prime factorization of 4456 in exponential form is:

4456 = 23 × 5571

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 4456 and 4465.

LCM(4456,4465) = 23 × 5571 × 51 × 191 × 471
LCM(4456,4465) = 19896040