What is the Least Common Multiple of 4481 and 4485?
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 4481 and 4485 is 20097285.
LCM(4481,4485) = 20097285
Least Common Multiple of 4481 and 4485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4481 and 4485, than apply into the LCM equation.
GCF(4481,4485) = 1
LCM(4481,4485) = ( 4481 × 4485) / 1
LCM(4481,4485) = 20097285 / 1
LCM(4481,4485) = 20097285
Least Common Multiple (LCM) of 4481 and 4485 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4481 and 4485. First we will calculate the prime factors of 4481 and 4485.
Prime Factorization of 4481
Prime factors of 4481 are 4481. Prime factorization of 4481 in exponential form is:
4481 = 44811
Prime Factorization of 4485
Prime factors of 4485 are 3, 5, 13, 23. Prime factorization of 4485 in exponential form is:
4485 = 31 × 51 × 131 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 4481 and 4485.
LCM(4481,4485) = 44811 × 31 × 51 × 131 × 231
LCM(4481,4485) = 20097285
Related Least Common Multiples of 4481
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Related Least Common Multiples of 4485
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