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What is the Least Common Multiple of 4459 and 4477?

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 4459 and 4477 is 19962943.

LCM(4459,4477) = 19962943

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Least Common Multiple of 4459 and 4477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4459 and 4477, than apply into the LCM equation.

GCF(4459,4477) = 1
LCM(4459,4477) = ( 4459 × 4477) / 1
LCM(4459,4477) = 19962943 / 1
LCM(4459,4477) = 19962943

Least Common Multiple (LCM) of 4459 and 4477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4459 and 4477. First we will calculate the prime factors of 4459 and 4477.

Prime Factorization of 4459

Prime factors of 4459 are 7, 13. Prime factorization of 4459 in exponential form is:

4459 = 73 × 131

Prime Factorization of 4477

Prime factors of 4477 are 11, 37. Prime factorization of 4477 in exponential form is:

4477 = 112 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 4459 and 4477.

LCM(4459,4477) = 73 × 131 × 112 × 371
LCM(4459,4477) = 19962943