What is the Least Common Multiple of 43153 and 43165?
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 43153 and 43165 is 1862699245.
LCM(43153,43165) = 1862699245
Least Common Multiple of 43153 and 43165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43153 and 43165, than apply into the LCM equation.
GCF(43153,43165) = 1
LCM(43153,43165) = ( 43153 × 43165) / 1
LCM(43153,43165) = 1862699245 / 1
LCM(43153,43165) = 1862699245
Least Common Multiple (LCM) of 43153 and 43165 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43153 and 43165. First we will calculate the prime factors of 43153 and 43165.
Prime Factorization of 43153
Prime factors of 43153 are 11, 3923. Prime factorization of 43153 in exponential form is:
43153 = 111 × 39231
Prime Factorization of 43165
Prime factors of 43165 are 5, 89, 97. Prime factorization of 43165 in exponential form is:
43165 = 51 × 891 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 43153 and 43165.
LCM(43153,43165) = 111 × 39231 × 51 × 891 × 971
LCM(43153,43165) = 1862699245
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