What is the Least Common Multiple of 43447 and 43452?
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 43447 and 43452 is 1887859044.
LCM(43447,43452) = 1887859044
Least Common Multiple of 43447 and 43452 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43447 and 43452, than apply into the LCM equation.
GCF(43447,43452) = 1
LCM(43447,43452) = ( 43447 × 43452) / 1
LCM(43447,43452) = 1887859044 / 1
LCM(43447,43452) = 1887859044
Least Common Multiple (LCM) of 43447 and 43452 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43447 and 43452. First we will calculate the prime factors of 43447 and 43452.
Prime Factorization of 43447
Prime factors of 43447 are 23, 1889. Prime factorization of 43447 in exponential form is:
43447 = 231 × 18891
Prime Factorization of 43452
Prime factors of 43452 are 2, 3, 17, 71. Prime factorization of 43452 in exponential form is:
43452 = 22 × 32 × 171 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 43447 and 43452.
LCM(43447,43452) = 231 × 18891 × 22 × 32 × 171 × 711
LCM(43447,43452) = 1887859044
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