What is the Least Common Multiple of 24527 and 24547?
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 24527 and 24547 is 602064269.
LCM(24527,24547) = 602064269
Least Common Multiple of 24527 and 24547 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24527 and 24547, than apply into the LCM equation.
GCF(24527,24547) = 1
LCM(24527,24547) = ( 24527 × 24547) / 1
LCM(24527,24547) = 602064269 / 1
LCM(24527,24547) = 602064269
Least Common Multiple (LCM) of 24527 and 24547 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24527 and 24547. First we will calculate the prime factors of 24527 and 24547.
Prime Factorization of 24527
Prime factors of 24527 are 24527. Prime factorization of 24527 in exponential form is:
24527 = 245271
Prime Factorization of 24547
Prime factors of 24547 are 24547. Prime factorization of 24547 in exponential form is:
24547 = 245471
Now multiplying the highest exponent prime factors to calculate the LCM of 24527 and 24547.
LCM(24527,24547) = 245271 × 245471
LCM(24527,24547) = 602064269
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