What is the Least Common Multiple of 96731 and 96737?
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 96731 and 96737 is 9357466747.
LCM(96731,96737) = 9357466747
Least Common Multiple of 96731 and 96737 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96731 and 96737, than apply into the LCM equation.
GCF(96731,96737) = 1
LCM(96731,96737) = ( 96731 × 96737) / 1
LCM(96731,96737) = 9357466747 / 1
LCM(96731,96737) = 9357466747
Least Common Multiple (LCM) of 96731 and 96737 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 96731 and 96737. First we will calculate the prime factors of 96731 and 96737.
Prime Factorization of 96731
Prime factors of 96731 are 96731. Prime factorization of 96731 in exponential form is:
96731 = 967311
Prime Factorization of 96737
Prime factors of 96737 are 96737. Prime factorization of 96737 in exponential form is:
96737 = 967371
Now multiplying the highest exponent prime factors to calculate the LCM of 96731 and 96737.
LCM(96731,96737) = 967311 × 967371
LCM(96731,96737) = 9357466747
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