What is the Least Common Multiple of 4484 and 4503?
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 4484 and 4503 is 1062708.
LCM(4484,4503) = 1062708
Least Common Multiple of 4484 and 4503 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4484 and 4503, than apply into the LCM equation.
GCF(4484,4503) = 19
LCM(4484,4503) = ( 4484 × 4503) / 19
LCM(4484,4503) = 20191452 / 19
LCM(4484,4503) = 1062708
Least Common Multiple (LCM) of 4484 and 4503 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4484 and 4503. First we will calculate the prime factors of 4484 and 4503.
Prime Factorization of 4484
Prime factors of 4484 are 2, 19, 59. Prime factorization of 4484 in exponential form is:
4484 = 22 × 191 × 591
Prime Factorization of 4503
Prime factors of 4503 are 3, 19, 79. Prime factorization of 4503 in exponential form is:
4503 = 31 × 191 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 4484 and 4503.
LCM(4484,4503) = 22 × 191 × 591 × 31 × 791
LCM(4484,4503) = 1062708
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