What is the Least Common Multiple of 43157 and 43167?
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 43157 and 43167 is 1862958219.
LCM(43157,43167) = 1862958219
Least Common Multiple of 43157 and 43167 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43157 and 43167, than apply into the LCM equation.
GCF(43157,43167) = 1
LCM(43157,43167) = ( 43157 × 43167) / 1
LCM(43157,43167) = 1862958219 / 1
LCM(43157,43167) = 1862958219
Least Common Multiple (LCM) of 43157 and 43167 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43157 and 43167. First we will calculate the prime factors of 43157 and 43167.
Prime Factorization of 43157
Prime factors of 43157 are 103, 419. Prime factorization of 43157 in exponential form is:
43157 = 1031 × 4191
Prime Factorization of 43167
Prime factors of 43167 are 3, 14389. Prime factorization of 43167 in exponential form is:
43167 = 31 × 143891
Now multiplying the highest exponent prime factors to calculate the LCM of 43157 and 43167.
LCM(43157,43167) = 1031 × 4191 × 31 × 143891
LCM(43157,43167) = 1862958219
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