What is the Least Common Multiple of 43051 and 43060?
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 43051 and 43060 is 1853776060.
LCM(43051,43060) = 1853776060
Least Common Multiple of 43051 and 43060 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43051 and 43060, than apply into the LCM equation.
GCF(43051,43060) = 1
LCM(43051,43060) = ( 43051 × 43060) / 1
LCM(43051,43060) = 1853776060 / 1
LCM(43051,43060) = 1853776060
Least Common Multiple (LCM) of 43051 and 43060 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43051 and 43060. First we will calculate the prime factors of 43051 and 43060.
Prime Factorization of 43051
Prime factors of 43051 are 43051. Prime factorization of 43051 in exponential form is:
43051 = 430511
Prime Factorization of 43060
Prime factors of 43060 are 2, 5, 2153. Prime factorization of 43060 in exponential form is:
43060 = 22 × 51 × 21531
Now multiplying the highest exponent prime factors to calculate the LCM of 43051 and 43060.
LCM(43051,43060) = 430511 × 22 × 51 × 21531
LCM(43051,43060) = 1853776060
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