What is the Least Common Multiple of 43153 and 43162?
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 43162 is 1862569786.
LCM(43153,43162) = 1862569786
Least Common Multiple of 43153 and 43162 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 43162, than apply into the LCM equation.
GCF(43153,43162) = 1
LCM(43153,43162) = ( 43153 × 43162) / 1
LCM(43153,43162) = 1862569786 / 1
LCM(43153,43162) = 1862569786
Least Common Multiple (LCM) of 43153 and 43162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43153 and 43162. First we will calculate the prime factors of 43153 and 43162.
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 43162
Prime factors of 43162 are 2, 7, 3083. Prime factorization of 43162 in exponential form is:
43162 = 21 × 71 × 30831
Now multiplying the highest exponent prime factors to calculate the LCM of 43153 and 43162.
LCM(43153,43162) = 111 × 39231 × 21 × 71 × 30831
LCM(43153,43162) = 1862569786
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