What is the Least Common Multiple of 29062 and 29073?
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 29062 and 29073 is 76810866.
LCM(29062,29073) = 76810866
Least Common Multiple of 29062 and 29073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29062 and 29073, than apply into the LCM equation.
GCF(29062,29073) = 11
LCM(29062,29073) = ( 29062 × 29073) / 11
LCM(29062,29073) = 844919526 / 11
LCM(29062,29073) = 76810866
Least Common Multiple (LCM) of 29062 and 29073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29062 and 29073. First we will calculate the prime factors of 29062 and 29073.
Prime Factorization of 29062
Prime factors of 29062 are 2, 11, 1321. Prime factorization of 29062 in exponential form is:
29062 = 21 × 111 × 13211
Prime Factorization of 29073
Prime factors of 29073 are 3, 11, 881. Prime factorization of 29073 in exponential form is:
29073 = 31 × 111 × 8811
Now multiplying the highest exponent prime factors to calculate the LCM of 29062 and 29073.
LCM(29062,29073) = 21 × 111 × 13211 × 31 × 8811
LCM(29062,29073) = 76810866
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