What is the Least Common Multiple of 24476 and 24487?
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 24476 and 24487 is 599343812.
LCM(24476,24487) = 599343812
Least Common Multiple of 24476 and 24487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24476 and 24487, than apply into the LCM equation.
GCF(24476,24487) = 1
LCM(24476,24487) = ( 24476 × 24487) / 1
LCM(24476,24487) = 599343812 / 1
LCM(24476,24487) = 599343812
Least Common Multiple (LCM) of 24476 and 24487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24476 and 24487. First we will calculate the prime factors of 24476 and 24487.
Prime Factorization of 24476
Prime factors of 24476 are 2, 29, 211. Prime factorization of 24476 in exponential form is:
24476 = 22 × 291 × 2111
Prime Factorization of 24487
Prime factors of 24487 are 47, 521. Prime factorization of 24487 in exponential form is:
24487 = 471 × 5211
Now multiplying the highest exponent prime factors to calculate the LCM of 24476 and 24487.
LCM(24476,24487) = 22 × 291 × 2111 × 471 × 5211
LCM(24476,24487) = 599343812
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