What is the Least Common Multiple of 53867 and 53886?
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 53867 and 53886 is 2902677162.
LCM(53867,53886) = 2902677162
Least Common Multiple of 53867 and 53886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53867 and 53886, than apply into the LCM equation.
GCF(53867,53886) = 1
LCM(53867,53886) = ( 53867 × 53886) / 1
LCM(53867,53886) = 2902677162 / 1
LCM(53867,53886) = 2902677162
Least Common Multiple (LCM) of 53867 and 53886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 53867 and 53886. First we will calculate the prime factors of 53867 and 53886.
Prime Factorization of 53867
Prime factors of 53867 are 11, 59, 83. Prime factorization of 53867 in exponential form is:
53867 = 111 × 591 × 831
Prime Factorization of 53886
Prime factors of 53886 are 2, 3, 7, 1283. Prime factorization of 53886 in exponential form is:
53886 = 21 × 31 × 71 × 12831
Now multiplying the highest exponent prime factors to calculate the LCM of 53867 and 53886.
LCM(53867,53886) = 111 × 591 × 831 × 21 × 31 × 71 × 12831
LCM(53867,53886) = 2902677162
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