What is the Least Common Multiple of 43121 and 43141?
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 43121 and 43141 is 1860283061.
LCM(43121,43141) = 1860283061
Least Common Multiple of 43121 and 43141 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43121 and 43141, than apply into the LCM equation.
GCF(43121,43141) = 1
LCM(43121,43141) = ( 43121 × 43141) / 1
LCM(43121,43141) = 1860283061 / 1
LCM(43121,43141) = 1860283061
Least Common Multiple (LCM) of 43121 and 43141 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43121 and 43141. First we will calculate the prime factors of 43121 and 43141.
Prime Factorization of 43121
Prime factors of 43121 are 13, 31, 107. Prime factorization of 43121 in exponential form is:
43121 = 131 × 311 × 1071
Prime Factorization of 43141
Prime factors of 43141 are 7, 6163. Prime factorization of 43141 in exponential form is:
43141 = 71 × 61631
Now multiplying the highest exponent prime factors to calculate the LCM of 43121 and 43141.
LCM(43121,43141) = 131 × 311 × 1071 × 71 × 61631
LCM(43121,43141) = 1860283061
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