What is the Least Common Multiple of 84253 and 84272?
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 84253 and 84272 is 7100168816.
LCM(84253,84272) = 7100168816
Least Common Multiple of 84253 and 84272 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84253 and 84272, than apply into the LCM equation.
GCF(84253,84272) = 1
LCM(84253,84272) = ( 84253 × 84272) / 1
LCM(84253,84272) = 7100168816 / 1
LCM(84253,84272) = 7100168816
Least Common Multiple (LCM) of 84253 and 84272 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84253 and 84272. First we will calculate the prime factors of 84253 and 84272.
Prime Factorization of 84253
Prime factors of 84253 are 13, 6481. Prime factorization of 84253 in exponential form is:
84253 = 131 × 64811
Prime Factorization of 84272
Prime factors of 84272 are 2, 23, 229. Prime factorization of 84272 in exponential form is:
84272 = 24 × 231 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 84253 and 84272.
LCM(84253,84272) = 131 × 64811 × 24 × 231 × 2291
LCM(84253,84272) = 7100168816
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