What is the Least Common Multiple of 24371 and 24391?
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 24371 and 24391 is 594433061.
LCM(24371,24391) = 594433061
Least Common Multiple of 24371 and 24391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24371 and 24391, than apply into the LCM equation.
GCF(24371,24391) = 1
LCM(24371,24391) = ( 24371 × 24391) / 1
LCM(24371,24391) = 594433061 / 1
LCM(24371,24391) = 594433061
Least Common Multiple (LCM) of 24371 and 24391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24371 and 24391. First we will calculate the prime factors of 24371 and 24391.
Prime Factorization of 24371
Prime factors of 24371 are 24371. Prime factorization of 24371 in exponential form is:
24371 = 243711
Prime Factorization of 24391
Prime factors of 24391 are 24391. Prime factorization of 24391 in exponential form is:
24391 = 243911
Now multiplying the highest exponent prime factors to calculate the LCM of 24371 and 24391.
LCM(24371,24391) = 243711 × 243911
LCM(24371,24391) = 594433061
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