What is the Least Common Multiple of 84838 and 84847?
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 84838 and 84847 is 7198249786.
LCM(84838,84847) = 7198249786
Least Common Multiple of 84838 and 84847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84838 and 84847, than apply into the LCM equation.
GCF(84838,84847) = 1
LCM(84838,84847) = ( 84838 × 84847) / 1
LCM(84838,84847) = 7198249786 / 1
LCM(84838,84847) = 7198249786
Least Common Multiple (LCM) of 84838 and 84847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84838 and 84847. First we will calculate the prime factors of 84838 and 84847.
Prime Factorization of 84838
Prime factors of 84838 are 2, 13, 251. Prime factorization of 84838 in exponential form is:
84838 = 21 × 132 × 2511
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
Now multiplying the highest exponent prime factors to calculate the LCM of 84838 and 84847.
LCM(84838,84847) = 21 × 132 × 2511 × 71 × 171 × 231 × 311
LCM(84838,84847) = 7198249786
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