What is the Least Common Multiple of 24472 and 24481?
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 24472 and 24481 is 599099032.
LCM(24472,24481) = 599099032
Least Common Multiple of 24472 and 24481 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24472 and 24481, than apply into the LCM equation.
GCF(24472,24481) = 1
LCM(24472,24481) = ( 24472 × 24481) / 1
LCM(24472,24481) = 599099032 / 1
LCM(24472,24481) = 599099032
Least Common Multiple (LCM) of 24472 and 24481 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24472 and 24481. First we will calculate the prime factors of 24472 and 24481.
Prime Factorization of 24472
Prime factors of 24472 are 2, 7, 19, 23. Prime factorization of 24472 in exponential form is:
24472 = 23 × 71 × 191 × 231
Prime Factorization of 24481
Prime factors of 24481 are 24481. Prime factorization of 24481 in exponential form is:
24481 = 244811
Now multiplying the highest exponent prime factors to calculate the LCM of 24472 and 24481.
LCM(24472,24481) = 23 × 71 × 191 × 231 × 244811
LCM(24472,24481) = 599099032
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