What is the Least Common Multiple of 24325 and 24332?
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 24325 and 24332 is 84553700.
LCM(24325,24332) = 84553700
Least Common Multiple of 24325 and 24332 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24325 and 24332, than apply into the LCM equation.
GCF(24325,24332) = 7
LCM(24325,24332) = ( 24325 × 24332) / 7
LCM(24325,24332) = 591875900 / 7
LCM(24325,24332) = 84553700
Least Common Multiple (LCM) of 24325 and 24332 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24325 and 24332. First we will calculate the prime factors of 24325 and 24332.
Prime Factorization of 24325
Prime factors of 24325 are 5, 7, 139. Prime factorization of 24325 in exponential form is:
24325 = 52 × 71 × 1391
Prime Factorization of 24332
Prime factors of 24332 are 2, 7, 11, 79. Prime factorization of 24332 in exponential form is:
24332 = 22 × 71 × 111 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 24325 and 24332.
LCM(24325,24332) = 52 × 71 × 1391 × 22 × 111 × 791
LCM(24325,24332) = 84553700
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