What is the Least Common Multiple of 31751 and 31756?
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 31751 and 31756 is 1008284756.
LCM(31751,31756) = 1008284756
Least Common Multiple of 31751 and 31756 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31751 and 31756, than apply into the LCM equation.
GCF(31751,31756) = 1
LCM(31751,31756) = ( 31751 × 31756) / 1
LCM(31751,31756) = 1008284756 / 1
LCM(31751,31756) = 1008284756
Least Common Multiple (LCM) of 31751 and 31756 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31751 and 31756. First we will calculate the prime factors of 31751 and 31756.
Prime Factorization of 31751
Prime factors of 31751 are 31751. Prime factorization of 31751 in exponential form is:
31751 = 317511
Prime Factorization of 31756
Prime factors of 31756 are 2, 17, 467. Prime factorization of 31756 in exponential form is:
31756 = 22 × 171 × 4671
Now multiplying the highest exponent prime factors to calculate the LCM of 31751 and 31756.
LCM(31751,31756) = 317511 × 22 × 171 × 4671
LCM(31751,31756) = 1008284756
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