What is the Least Common Multiple of 4484 and 4504?
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 4504 is 5048984.
LCM(4484,4504) = 5048984
Least Common Multiple of 4484 and 4504 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 4504, than apply into the LCM equation.
GCF(4484,4504) = 4
LCM(4484,4504) = ( 4484 × 4504) / 4
LCM(4484,4504) = 20195936 / 4
LCM(4484,4504) = 5048984
Least Common Multiple (LCM) of 4484 and 4504 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4484 and 4504. First we will calculate the prime factors of 4484 and 4504.
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 4504
Prime factors of 4504 are 2, 563. Prime factorization of 4504 in exponential form is:
4504 = 23 × 5631
Now multiplying the highest exponent prime factors to calculate the LCM of 4484 and 4504.
LCM(4484,4504) = 23 × 191 × 591 × 5631
LCM(4484,4504) = 5048984
Related Least Common Multiples of 4484
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Related Least Common Multiples of 4504
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