What is the Least Common Multiple of 4475 and 4491?
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 4475 and 4491 is 20097225.
LCM(4475,4491) = 20097225
Least Common Multiple of 4475 and 4491 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4475 and 4491, than apply into the LCM equation.
GCF(4475,4491) = 1
LCM(4475,4491) = ( 4475 × 4491) / 1
LCM(4475,4491) = 20097225 / 1
LCM(4475,4491) = 20097225
Least Common Multiple (LCM) of 4475 and 4491 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4475 and 4491. First we will calculate the prime factors of 4475 and 4491.
Prime Factorization of 4475
Prime factors of 4475 are 5, 179. Prime factorization of 4475 in exponential form is:
4475 = 52 × 1791
Prime Factorization of 4491
Prime factors of 4491 are 3, 499. Prime factorization of 4491 in exponential form is:
4491 = 32 × 4991
Now multiplying the highest exponent prime factors to calculate the LCM of 4475 and 4491.
LCM(4475,4491) = 52 × 1791 × 32 × 4991
LCM(4475,4491) = 20097225
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