What is the Least Common Multiple of 92727 and 92731?
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 92727 and 92731 is 8598667437.
LCM(92727,92731) = 8598667437
Least Common Multiple of 92727 and 92731 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92727 and 92731, than apply into the LCM equation.
GCF(92727,92731) = 1
LCM(92727,92731) = ( 92727 × 92731) / 1
LCM(92727,92731) = 8598667437 / 1
LCM(92727,92731) = 8598667437
Least Common Multiple (LCM) of 92727 and 92731 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92727 and 92731. First we will calculate the prime factors of 92727 and 92731.
Prime Factorization of 92727
Prime factors of 92727 are 3, 10303. Prime factorization of 92727 in exponential form is:
92727 = 32 × 103031
Prime Factorization of 92731
Prime factors of 92731 are 47, 1973. Prime factorization of 92731 in exponential form is:
92731 = 471 × 19731
Now multiplying the highest exponent prime factors to calculate the LCM of 92727 and 92731.
LCM(92727,92731) = 32 × 103031 × 471 × 19731
LCM(92727,92731) = 8598667437
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