What is the Least Common Multiple of 32857 and 32861?
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 32861 is 1079713877.
LCM(32857,32861) = 1079713877
Least Common Multiple of 32857 and 32861 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 32861, than apply into the LCM equation.
GCF(32857,32861) = 1
LCM(32857,32861) = ( 32857 × 32861) / 1
LCM(32857,32861) = 1079713877 / 1
LCM(32857,32861) = 1079713877
Least Common Multiple (LCM) of 32857 and 32861 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32857 and 32861. First we will calculate the prime factors of 32857 and 32861.
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 32861
Prime factors of 32861 are 17, 1933. Prime factorization of 32861 in exponential form is:
32861 = 171 × 19331
Now multiplying the highest exponent prime factors to calculate the LCM of 32857 and 32861.
LCM(32857,32861) = 111 × 291 × 1031 × 171 × 19331
LCM(32857,32861) = 1079713877
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