What is the Least Common Multiple of 84847 and 84851?
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 84847 and 84851 is 7199352797.
LCM(84847,84851) = 7199352797
Least Common Multiple of 84847 and 84851 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84847 and 84851, than apply into the LCM equation.
GCF(84847,84851) = 1
LCM(84847,84851) = ( 84847 × 84851) / 1
LCM(84847,84851) = 7199352797 / 1
LCM(84847,84851) = 7199352797
Least Common Multiple (LCM) of 84847 and 84851 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84847 and 84851. First we will calculate the prime factors of 84847 and 84851.
Prime Factorization of 84847
Prime factors of 84847 are 7, 17, 23, 31. Prime factorization of 84847 in exponential form is:
84847 = 71 × 171 × 231 × 311
Prime Factorization of 84851
Prime factors of 84851 are 13, 61, 107. Prime factorization of 84851 in exponential form is:
84851 = 131 × 611 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 84847 and 84851.
LCM(84847,84851) = 71 × 171 × 231 × 311 × 131 × 611 × 1071
LCM(84847,84851) = 7199352797
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