What is the Least Common Multiple of 48254 and 48258?
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 48254 and 48258 is 1164320766.
LCM(48254,48258) = 1164320766
Least Common Multiple of 48254 and 48258 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48254 and 48258, than apply into the LCM equation.
GCF(48254,48258) = 2
LCM(48254,48258) = ( 48254 × 48258) / 2
LCM(48254,48258) = 2328641532 / 2
LCM(48254,48258) = 1164320766
Least Common Multiple (LCM) of 48254 and 48258 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 48254 and 48258. First we will calculate the prime factors of 48254 and 48258.
Prime Factorization of 48254
Prime factors of 48254 are 2, 23, 1049. Prime factorization of 48254 in exponential form is:
48254 = 21 × 231 × 10491
Prime Factorization of 48258
Prime factors of 48258 are 2, 3, 7, 383. Prime factorization of 48258 in exponential form is:
48258 = 21 × 32 × 71 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 48254 and 48258.
LCM(48254,48258) = 21 × 231 × 10491 × 32 × 71 × 3831
LCM(48254,48258) = 1164320766
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