What is the Least Common Multiple of 43151 and 43163?
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 43151 and 43163 is 1862526613.
LCM(43151,43163) = 1862526613
Least Common Multiple of 43151 and 43163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43151 and 43163, than apply into the LCM equation.
GCF(43151,43163) = 1
LCM(43151,43163) = ( 43151 × 43163) / 1
LCM(43151,43163) = 1862526613 / 1
LCM(43151,43163) = 1862526613
Least Common Multiple (LCM) of 43151 and 43163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43151 and 43163. First we will calculate the prime factors of 43151 and 43163.
Prime Factorization of 43151
Prime factors of 43151 are 43151. Prime factorization of 43151 in exponential form is:
43151 = 431511
Prime Factorization of 43163
Prime factors of 43163 are 17, 2539. Prime factorization of 43163 in exponential form is:
43163 = 171 × 25391
Now multiplying the highest exponent prime factors to calculate the LCM of 43151 and 43163.
LCM(43151,43163) = 431511 × 171 × 25391
LCM(43151,43163) = 1862526613
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