What is the Least Common Multiple of 24481 and 24485?
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 24481 and 24485 is 599417285.
LCM(24481,24485) = 599417285
Least Common Multiple of 24481 and 24485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24481 and 24485, than apply into the LCM equation.
GCF(24481,24485) = 1
LCM(24481,24485) = ( 24481 × 24485) / 1
LCM(24481,24485) = 599417285 / 1
LCM(24481,24485) = 599417285
Least Common Multiple (LCM) of 24481 and 24485 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24481 and 24485. First we will calculate the prime factors of 24481 and 24485.
Prime Factorization of 24481
Prime factors of 24481 are 24481. Prime factorization of 24481 in exponential form is:
24481 = 244811
Prime Factorization of 24485
Prime factors of 24485 are 5, 59, 83. Prime factorization of 24485 in exponential form is:
24485 = 51 × 591 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 24481 and 24485.
LCM(24481,24485) = 244811 × 51 × 591 × 831
LCM(24481,24485) = 599417285
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