What is the Least Common Multiple of 24179 and 24188?
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 24179 and 24188 is 584841652.
LCM(24179,24188) = 584841652
Least Common Multiple of 24179 and 24188 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24179 and 24188, than apply into the LCM equation.
GCF(24179,24188) = 1
LCM(24179,24188) = ( 24179 × 24188) / 1
LCM(24179,24188) = 584841652 / 1
LCM(24179,24188) = 584841652
Least Common Multiple (LCM) of 24179 and 24188 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24179 and 24188. First we will calculate the prime factors of 24179 and 24188.
Prime Factorization of 24179
Prime factors of 24179 are 24179. Prime factorization of 24179 in exponential form is:
24179 = 241791
Prime Factorization of 24188
Prime factors of 24188 are 2, 6047. Prime factorization of 24188 in exponential form is:
24188 = 22 × 60471
Now multiplying the highest exponent prime factors to calculate the LCM of 24179 and 24188.
LCM(24179,24188) = 241791 × 22 × 60471
LCM(24179,24188) = 584841652
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