What is the Least Common Multiple of 91527 and 91537?
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 91527 and 91537 is 8378106999.
LCM(91527,91537) = 8378106999
Least Common Multiple of 91527 and 91537 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91527 and 91537, than apply into the LCM equation.
GCF(91527,91537) = 1
LCM(91527,91537) = ( 91527 × 91537) / 1
LCM(91527,91537) = 8378106999 / 1
LCM(91527,91537) = 8378106999
Least Common Multiple (LCM) of 91527 and 91537 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91527 and 91537. First we will calculate the prime factors of 91527 and 91537.
Prime Factorization of 91527
Prime factors of 91527 are 3, 30509. Prime factorization of 91527 in exponential form is:
91527 = 31 × 305091
Prime Factorization of 91537
Prime factors of 91537 are 239, 383. Prime factorization of 91537 in exponential form is:
91537 = 2391 × 3831
Now multiplying the highest exponent prime factors to calculate the LCM of 91527 and 91537.
LCM(91527,91537) = 31 × 305091 × 2391 × 3831
LCM(91527,91537) = 8378106999
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