What is the Least Common Multiple of 24704 and 24711?
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 24704 and 24711 is 610460544.
LCM(24704,24711) = 610460544
Least Common Multiple of 24704 and 24711 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24704 and 24711, than apply into the LCM equation.
GCF(24704,24711) = 1
LCM(24704,24711) = ( 24704 × 24711) / 1
LCM(24704,24711) = 610460544 / 1
LCM(24704,24711) = 610460544
Least Common Multiple (LCM) of 24704 and 24711 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24704 and 24711. First we will calculate the prime factors of 24704 and 24711.
Prime Factorization of 24704
Prime factors of 24704 are 2, 193. Prime factorization of 24704 in exponential form is:
24704 = 27 × 1931
Prime Factorization of 24711
Prime factors of 24711 are 3, 8237. Prime factorization of 24711 in exponential form is:
24711 = 31 × 82371
Now multiplying the highest exponent prime factors to calculate the LCM of 24704 and 24711.
LCM(24704,24711) = 27 × 1931 × 31 × 82371
LCM(24704,24711) = 610460544
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