What is the Least Common Multiple of 32847 and 32851?
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 32847 and 32851 is 1079056797.
LCM(32847,32851) = 1079056797
Least Common Multiple of 32847 and 32851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32847 and 32851, than apply into the LCM equation.
GCF(32847,32851) = 1
LCM(32847,32851) = ( 32847 × 32851) / 1
LCM(32847,32851) = 1079056797 / 1
LCM(32847,32851) = 1079056797
Least Common Multiple (LCM) of 32847 and 32851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32847 and 32851. First we will calculate the prime factors of 32847 and 32851.
Prime Factorization of 32847
Prime factors of 32847 are 3, 10949. Prime factorization of 32847 in exponential form is:
32847 = 31 × 109491
Prime Factorization of 32851
Prime factors of 32851 are 7, 13, 19. Prime factorization of 32851 in exponential form is:
32851 = 71 × 131 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 32847 and 32851.
LCM(32847,32851) = 31 × 109491 × 71 × 131 × 192
LCM(32847,32851) = 1079056797
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