What is the Least Common Multiple of 24155 and 24162?
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 24155 and 24162 is 583633110.
LCM(24155,24162) = 583633110
Least Common Multiple of 24155 and 24162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24155 and 24162, than apply into the LCM equation.
GCF(24155,24162) = 1
LCM(24155,24162) = ( 24155 × 24162) / 1
LCM(24155,24162) = 583633110 / 1
LCM(24155,24162) = 583633110
Least Common Multiple (LCM) of 24155 and 24162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 24155 and 24162. First we will calculate the prime factors of 24155 and 24162.
Prime Factorization of 24155
Prime factors of 24155 are 5, 4831. Prime factorization of 24155 in exponential form is:
24155 = 51 × 48311
Prime Factorization of 24162
Prime factors of 24162 are 2, 3, 4027. Prime factorization of 24162 in exponential form is:
24162 = 21 × 31 × 40271
Now multiplying the highest exponent prime factors to calculate the LCM of 24155 and 24162.
LCM(24155,24162) = 51 × 48311 × 21 × 31 × 40271
LCM(24155,24162) = 583633110
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