What is the Least Common Multiple of 24851 and 24863?
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 24851 and 24863 is 617870413.
LCM(24851,24863) = 617870413
Least Common Multiple of 24851 and 24863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24851 and 24863, than apply into the LCM equation.
GCF(24851,24863) = 1
LCM(24851,24863) = ( 24851 × 24863) / 1
LCM(24851,24863) = 617870413 / 1
LCM(24851,24863) = 617870413
Least Common Multiple (LCM) of 24851 and 24863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24851 and 24863. First we will calculate the prime factors of 24851 and 24863.
Prime Factorization of 24851
Prime factors of 24851 are 24851. Prime factorization of 24851 in exponential form is:
24851 = 248511
Prime Factorization of 24863
Prime factors of 24863 are 23, 47. Prime factorization of 24863 in exponential form is:
24863 = 232 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 24851 and 24863.
LCM(24851,24863) = 248511 × 232 × 471
LCM(24851,24863) = 617870413
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