What is the Least Common Multiple of 29776 and 29786?
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 29776 and 29786 is 443453968.
LCM(29776,29786) = 443453968
Least Common Multiple of 29776 and 29786 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29776 and 29786, than apply into the LCM equation.
GCF(29776,29786) = 2
LCM(29776,29786) = ( 29776 × 29786) / 2
LCM(29776,29786) = 886907936 / 2
LCM(29776,29786) = 443453968
Least Common Multiple (LCM) of 29776 and 29786 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29776 and 29786. First we will calculate the prime factors of 29776 and 29786.
Prime Factorization of 29776
Prime factors of 29776 are 2, 1861. Prime factorization of 29776 in exponential form is:
29776 = 24 × 18611
Prime Factorization of 29786
Prime factors of 29786 are 2, 53, 281. Prime factorization of 29786 in exponential form is:
29786 = 21 × 531 × 2811
Now multiplying the highest exponent prime factors to calculate the LCM of 29776 and 29786.
LCM(29776,29786) = 24 × 18611 × 531 × 2811
LCM(29776,29786) = 443453968
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