What is the Least Common Multiple of 24835 and 24851?
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 24835 and 24851 is 617174585.
LCM(24835,24851) = 617174585
Least Common Multiple of 24835 and 24851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24835 and 24851, than apply into the LCM equation.
GCF(24835,24851) = 1
LCM(24835,24851) = ( 24835 × 24851) / 1
LCM(24835,24851) = 617174585 / 1
LCM(24835,24851) = 617174585
Least Common Multiple (LCM) of 24835 and 24851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24835 and 24851. First we will calculate the prime factors of 24835 and 24851.
Prime Factorization of 24835
Prime factors of 24835 are 5, 4967. Prime factorization of 24835 in exponential form is:
24835 = 51 × 49671
Prime Factorization of 24851
Prime factors of 24851 are 24851. Prime factorization of 24851 in exponential form is:
24851 = 248511
Now multiplying the highest exponent prime factors to calculate the LCM of 24835 and 24851.
LCM(24835,24851) = 51 × 49671 × 248511
LCM(24835,24851) = 617174585
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