What is the Least Common Multiple of 43877 and 43886?
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 43877 and 43886 is 1925586022.
LCM(43877,43886) = 1925586022
Least Common Multiple of 43877 and 43886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43877 and 43886, than apply into the LCM equation.
GCF(43877,43886) = 1
LCM(43877,43886) = ( 43877 × 43886) / 1
LCM(43877,43886) = 1925586022 / 1
LCM(43877,43886) = 1925586022
Least Common Multiple (LCM) of 43877 and 43886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43877 and 43886. First we will calculate the prime factors of 43877 and 43886.
Prime Factorization of 43877
Prime factors of 43877 are 17, 29, 89. Prime factorization of 43877 in exponential form is:
43877 = 171 × 291 × 891
Prime Factorization of 43886
Prime factors of 43886 are 2, 21943. Prime factorization of 43886 in exponential form is:
43886 = 21 × 219431
Now multiplying the highest exponent prime factors to calculate the LCM of 43877 and 43886.
LCM(43877,43886) = 171 × 291 × 891 × 21 × 219431
LCM(43877,43886) = 1925586022
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