What is the Least Common Multiple of 24162 and 24181?
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 24162 and 24181 is 584261322.
LCM(24162,24181) = 584261322
Least Common Multiple of 24162 and 24181 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24162 and 24181, than apply into the LCM equation.
GCF(24162,24181) = 1
LCM(24162,24181) = ( 24162 × 24181) / 1
LCM(24162,24181) = 584261322 / 1
LCM(24162,24181) = 584261322
Least Common Multiple (LCM) of 24162 and 24181 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24162 and 24181. First we will calculate the prime factors of 24162 and 24181.
Prime Factorization of 24162
Prime factors of 24162 are 2, 3, 4027. Prime factorization of 24162 in exponential form is:
24162 = 21 × 31 × 40271
Prime Factorization of 24181
Prime factors of 24181 are 24181. Prime factorization of 24181 in exponential form is:
24181 = 241811
Now multiplying the highest exponent prime factors to calculate the LCM of 24162 and 24181.
LCM(24162,24181) = 21 × 31 × 40271 × 241811
LCM(24162,24181) = 584261322
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