What is the Least Common Multiple of 84773 and 84783?
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 84773 and 84783 is 7187309259.
LCM(84773,84783) = 7187309259
Least Common Multiple of 84773 and 84783 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84773 and 84783, than apply into the LCM equation.
GCF(84773,84783) = 1
LCM(84773,84783) = ( 84773 × 84783) / 1
LCM(84773,84783) = 7187309259 / 1
LCM(84773,84783) = 7187309259
Least Common Multiple (LCM) of 84773 and 84783 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84773 and 84783. First we will calculate the prime factors of 84773 and 84783.
Prime Factorization of 84773
Prime factors of 84773 are 13, 6521. Prime factorization of 84773 in exponential form is:
84773 = 131 × 65211
Prime Factorization of 84783
Prime factors of 84783 are 3, 59, 479. Prime factorization of 84783 in exponential form is:
84783 = 31 × 591 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 84773 and 84783.
LCM(84773,84783) = 131 × 65211 × 31 × 591 × 4791
LCM(84773,84783) = 7187309259
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