What is the Least Common Multiple of 29437 and 29447?
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 29437 and 29447 is 866831339.
LCM(29437,29447) = 866831339
Least Common Multiple of 29437 and 29447 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29437 and 29447, than apply into the LCM equation.
GCF(29437,29447) = 1
LCM(29437,29447) = ( 29437 × 29447) / 1
LCM(29437,29447) = 866831339 / 1
LCM(29437,29447) = 866831339
Least Common Multiple (LCM) of 29437 and 29447 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29437 and 29447. First we will calculate the prime factors of 29437 and 29447.
Prime Factorization of 29437
Prime factors of 29437 are 29437. Prime factorization of 29437 in exponential form is:
29437 = 294371
Prime Factorization of 29447
Prime factors of 29447 are 11, 2677. Prime factorization of 29447 in exponential form is:
29447 = 111 × 26771
Now multiplying the highest exponent prime factors to calculate the LCM of 29437 and 29447.
LCM(29437,29447) = 294371 × 111 × 26771
LCM(29437,29447) = 866831339
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