What is the Least Common Multiple of 84776 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 84776 and 84783 is 7187563608.
LCM(84776,84783) = 7187563608
Least Common Multiple of 84776 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 84776 and 84783, than apply into the LCM equation.
GCF(84776,84783) = 1
LCM(84776,84783) = ( 84776 × 84783) / 1
LCM(84776,84783) = 7187563608 / 1
LCM(84776,84783) = 7187563608
Least Common Multiple (LCM) of 84776 and 84783 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84776 and 84783. First we will calculate the prime factors of 84776 and 84783.
Prime Factorization of 84776
Prime factors of 84776 are 2, 10597. Prime factorization of 84776 in exponential form is:
84776 = 23 × 105971
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 84776 and 84783.
LCM(84776,84783) = 23 × 105971 × 31 × 591 × 4791
LCM(84776,84783) = 7187563608
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