What is the Least Common Multiple of 48082 and 48094?
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 48082 and 48094 is 1156227854.
LCM(48082,48094) = 1156227854
Least Common Multiple of 48082 and 48094 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48082 and 48094, than apply into the LCM equation.
GCF(48082,48094) = 2
LCM(48082,48094) = ( 48082 × 48094) / 2
LCM(48082,48094) = 2312455708 / 2
LCM(48082,48094) = 1156227854
Least Common Multiple (LCM) of 48082 and 48094 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48082 and 48094. First we will calculate the prime factors of 48082 and 48094.
Prime Factorization of 48082
Prime factors of 48082 are 2, 29, 829. Prime factorization of 48082 in exponential form is:
48082 = 21 × 291 × 8291
Prime Factorization of 48094
Prime factors of 48094 are 2, 139, 173. Prime factorization of 48094 in exponential form is:
48094 = 21 × 1391 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 48082 and 48094.
LCM(48082,48094) = 21 × 291 × 8291 × 1391 × 1731
LCM(48082,48094) = 1156227854
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