What is the Least Common Multiple of 29907 and 29911?
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 29907 and 29911 is 894548277.
LCM(29907,29911) = 894548277
Least Common Multiple of 29907 and 29911 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29907 and 29911, than apply into the LCM equation.
GCF(29907,29911) = 1
LCM(29907,29911) = ( 29907 × 29911) / 1
LCM(29907,29911) = 894548277 / 1
LCM(29907,29911) = 894548277
Least Common Multiple (LCM) of 29907 and 29911 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 29907 and 29911. First we will calculate the prime factors of 29907 and 29911.
Prime Factorization of 29907
Prime factors of 29907 are 3, 3323. Prime factorization of 29907 in exponential form is:
29907 = 32 × 33231
Prime Factorization of 29911
Prime factors of 29911 are 7, 4273. Prime factorization of 29911 in exponential form is:
29911 = 71 × 42731
Now multiplying the highest exponent prime factors to calculate the LCM of 29907 and 29911.
LCM(29907,29911) = 32 × 33231 × 71 × 42731
LCM(29907,29911) = 894548277
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