What is the Least Common Multiple of 24034 and 24043?
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 24034 and 24043 is 577849462.
LCM(24034,24043) = 577849462
Least Common Multiple of 24034 and 24043 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24034 and 24043, than apply into the LCM equation.
GCF(24034,24043) = 1
LCM(24034,24043) = ( 24034 × 24043) / 1
LCM(24034,24043) = 577849462 / 1
LCM(24034,24043) = 577849462
Least Common Multiple (LCM) of 24034 and 24043 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24034 and 24043. First we will calculate the prime factors of 24034 and 24043.
Prime Factorization of 24034
Prime factors of 24034 are 2, 61, 197. Prime factorization of 24034 in exponential form is:
24034 = 21 × 611 × 1971
Prime Factorization of 24043
Prime factors of 24043 are 24043. Prime factorization of 24043 in exponential form is:
24043 = 240431
Now multiplying the highest exponent prime factors to calculate the LCM of 24034 and 24043.
LCM(24034,24043) = 21 × 611 × 1971 × 240431
LCM(24034,24043) = 577849462
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