What is the Least Common Multiple of 32731 and 32750?
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 32731 and 32750 is 1071940250.
LCM(32731,32750) = 1071940250
Least Common Multiple of 32731 and 32750 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32731 and 32750, than apply into the LCM equation.
GCF(32731,32750) = 1
LCM(32731,32750) = ( 32731 × 32750) / 1
LCM(32731,32750) = 1071940250 / 1
LCM(32731,32750) = 1071940250
Least Common Multiple (LCM) of 32731 and 32750 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32731 and 32750. First we will calculate the prime factors of 32731 and 32750.
Prime Factorization of 32731
Prime factors of 32731 are 71, 461. Prime factorization of 32731 in exponential form is:
32731 = 711 × 4611
Prime Factorization of 32750
Prime factors of 32750 are 2, 5, 131. Prime factorization of 32750 in exponential form is:
32750 = 21 × 53 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 32731 and 32750.
LCM(32731,32750) = 711 × 4611 × 21 × 53 × 1311
LCM(32731,32750) = 1071940250
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