What is the Least Common Multiple of 43127 and 43136?
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 43127 and 43136 is 1860326272.
LCM(43127,43136) = 1860326272
Least Common Multiple of 43127 and 43136 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43127 and 43136, than apply into the LCM equation.
GCF(43127,43136) = 1
LCM(43127,43136) = ( 43127 × 43136) / 1
LCM(43127,43136) = 1860326272 / 1
LCM(43127,43136) = 1860326272
Least Common Multiple (LCM) of 43127 and 43136 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43127 and 43136. First we will calculate the prime factors of 43127 and 43136.
Prime Factorization of 43127
Prime factors of 43127 are 7, 61, 101. Prime factorization of 43127 in exponential form is:
43127 = 71 × 611 × 1011
Prime Factorization of 43136
Prime factors of 43136 are 2, 337. Prime factorization of 43136 in exponential form is:
43136 = 27 × 3371
Now multiplying the highest exponent prime factors to calculate the LCM of 43127 and 43136.
LCM(43127,43136) = 71 × 611 × 1011 × 27 × 3371
LCM(43127,43136) = 1860326272
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