What is the Least Common Multiple of 32857 and 32862?
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 32857 and 32862 is 1079746734.
LCM(32857,32862) = 1079746734
Least Common Multiple of 32857 and 32862 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32857 and 32862, than apply into the LCM equation.
GCF(32857,32862) = 1
LCM(32857,32862) = ( 32857 × 32862) / 1
LCM(32857,32862) = 1079746734 / 1
LCM(32857,32862) = 1079746734
Least Common Multiple (LCM) of 32857 and 32862 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32857 and 32862. First we will calculate the prime factors of 32857 and 32862.
Prime Factorization of 32857
Prime factors of 32857 are 11, 29, 103. Prime factorization of 32857 in exponential form is:
32857 = 111 × 291 × 1031
Prime Factorization of 32862
Prime factors of 32862 are 2, 3, 5477. Prime factorization of 32862 in exponential form is:
32862 = 21 × 31 × 54771
Now multiplying the highest exponent prime factors to calculate the LCM of 32857 and 32862.
LCM(32857,32862) = 111 × 291 × 1031 × 21 × 31 × 54771
LCM(32857,32862) = 1079746734
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