What is the Least Common Multiple of 94126 and 94137?
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 94126 and 94137 is 8860739262.
LCM(94126,94137) = 8860739262
Least Common Multiple of 94126 and 94137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94126 and 94137, than apply into the LCM equation.
GCF(94126,94137) = 1
LCM(94126,94137) = ( 94126 × 94137) / 1
LCM(94126,94137) = 8860739262 / 1
LCM(94126,94137) = 8860739262
Least Common Multiple (LCM) of 94126 and 94137 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94126 and 94137. First we will calculate the prime factors of 94126 and 94137.
Prime Factorization of 94126
Prime factors of 94126 are 2, 19, 2477. Prime factorization of 94126 in exponential form is:
94126 = 21 × 191 × 24771
Prime Factorization of 94137
Prime factors of 94137 are 3, 31379. Prime factorization of 94137 in exponential form is:
94137 = 31 × 313791
Now multiplying the highest exponent prime factors to calculate the LCM of 94126 and 94137.
LCM(94126,94137) = 21 × 191 × 24771 × 31 × 313791
LCM(94126,94137) = 8860739262
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