What is the Least Common Multiple of 29047 and 29052?
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 29047 and 29052 is 843873444.
LCM(29047,29052) = 843873444
Least Common Multiple of 29047 and 29052 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29047 and 29052, than apply into the LCM equation.
GCF(29047,29052) = 1
LCM(29047,29052) = ( 29047 × 29052) / 1
LCM(29047,29052) = 843873444 / 1
LCM(29047,29052) = 843873444
Least Common Multiple (LCM) of 29047 and 29052 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29047 and 29052. First we will calculate the prime factors of 29047 and 29052.
Prime Factorization of 29047
Prime factors of 29047 are 31, 937. Prime factorization of 29047 in exponential form is:
29047 = 311 × 9371
Prime Factorization of 29052
Prime factors of 29052 are 2, 3, 269. Prime factorization of 29052 in exponential form is:
29052 = 22 × 33 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 29047 and 29052.
LCM(29047,29052) = 311 × 9371 × 22 × 33 × 2691
LCM(29047,29052) = 843873444
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