What is the Least Common Multiple of 14863 and 14883?
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 14863 and 14883 is 221206029.
LCM(14863,14883) = 221206029
Least Common Multiple of 14863 and 14883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14863 and 14883, than apply into the LCM equation.
GCF(14863,14883) = 1
LCM(14863,14883) = ( 14863 × 14883) / 1
LCM(14863,14883) = 221206029 / 1
LCM(14863,14883) = 221206029
Least Common Multiple (LCM) of 14863 and 14883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14863 and 14883. First we will calculate the prime factors of 14863 and 14883.
Prime Factorization of 14863
Prime factors of 14863 are 89, 167. Prime factorization of 14863 in exponential form is:
14863 = 891 × 1671
Prime Factorization of 14883
Prime factors of 14883 are 3, 11, 41. Prime factorization of 14883 in exponential form is:
14883 = 31 × 112 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 14863 and 14883.
LCM(14863,14883) = 891 × 1671 × 31 × 112 × 411
LCM(14863,14883) = 221206029
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