What is the Least Common Multiple of 24429 and 24434?
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 24429 and 24434 is 596898186.
LCM(24429,24434) = 596898186
Least Common Multiple of 24429 and 24434 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24429 and 24434, than apply into the LCM equation.
GCF(24429,24434) = 1
LCM(24429,24434) = ( 24429 × 24434) / 1
LCM(24429,24434) = 596898186 / 1
LCM(24429,24434) = 596898186
Least Common Multiple (LCM) of 24429 and 24434 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24429 and 24434. First we will calculate the prime factors of 24429 and 24434.
Prime Factorization of 24429
Prime factors of 24429 are 3, 17, 479. Prime factorization of 24429 in exponential form is:
24429 = 31 × 171 × 4791
Prime Factorization of 24434
Prime factors of 24434 are 2, 19, 643. Prime factorization of 24434 in exponential form is:
24434 = 21 × 191 × 6431
Now multiplying the highest exponent prime factors to calculate the LCM of 24429 and 24434.
LCM(24429,24434) = 31 × 171 × 4791 × 21 × 191 × 6431
LCM(24429,24434) = 596898186
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Related Least Common Multiples of 24434
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