What is the Least Common Multiple of 94137 and 94157?
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 94137 and 94157 is 8863657509.
LCM(94137,94157) = 8863657509
Least Common Multiple of 94137 and 94157 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94137 and 94157, than apply into the LCM equation.
GCF(94137,94157) = 1
LCM(94137,94157) = ( 94137 × 94157) / 1
LCM(94137,94157) = 8863657509 / 1
LCM(94137,94157) = 8863657509
Least Common Multiple (LCM) of 94137 and 94157 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94137 and 94157. First we will calculate the prime factors of 94137 and 94157.
Prime Factorization of 94137
Prime factors of 94137 are 3, 31379. Prime factorization of 94137 in exponential form is:
94137 = 31 × 313791
Prime Factorization of 94157
Prime factors of 94157 are 7, 13451. Prime factorization of 94157 in exponential form is:
94157 = 71 × 134511
Now multiplying the highest exponent prime factors to calculate the LCM of 94137 and 94157.
LCM(94137,94157) = 31 × 313791 × 71 × 134511
LCM(94137,94157) = 8863657509
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