What is the Least Common Multiple of 43442 and 43447?
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 43442 and 43447 is 1887424574.
LCM(43442,43447) = 1887424574
Least Common Multiple of 43442 and 43447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43442 and 43447, than apply into the LCM equation.
GCF(43442,43447) = 1
LCM(43442,43447) = ( 43442 × 43447) / 1
LCM(43442,43447) = 1887424574 / 1
LCM(43442,43447) = 1887424574
Least Common Multiple (LCM) of 43442 and 43447 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43442 and 43447. First we will calculate the prime factors of 43442 and 43447.
Prime Factorization of 43442
Prime factors of 43442 are 2, 7, 29, 107. Prime factorization of 43442 in exponential form is:
43442 = 21 × 71 × 291 × 1071
Prime Factorization of 43447
Prime factors of 43447 are 23, 1889. Prime factorization of 43447 in exponential form is:
43447 = 231 × 18891
Now multiplying the highest exponent prime factors to calculate the LCM of 43442 and 43447.
LCM(43442,43447) = 21 × 71 × 291 × 1071 × 231 × 18891
LCM(43442,43447) = 1887424574
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