What is the Least Common Multiple of 84137 and 84150?
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 84137 and 84150 is 7080128550.
LCM(84137,84150) = 7080128550
Least Common Multiple of 84137 and 84150 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84137 and 84150, than apply into the LCM equation.
GCF(84137,84150) = 1
LCM(84137,84150) = ( 84137 × 84150) / 1
LCM(84137,84150) = 7080128550 / 1
LCM(84137,84150) = 7080128550
Least Common Multiple (LCM) of 84137 and 84150 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84137 and 84150. First we will calculate the prime factors of 84137 and 84150.
Prime Factorization of 84137
Prime factors of 84137 are 84137. Prime factorization of 84137 in exponential form is:
84137 = 841371
Prime Factorization of 84150
Prime factors of 84150 are 2, 3, 5, 11, 17. Prime factorization of 84150 in exponential form is:
84150 = 21 × 32 × 52 × 111 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 84137 and 84150.
LCM(84137,84150) = 841371 × 21 × 32 × 52 × 111 × 171
LCM(84137,84150) = 7080128550
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