What is the Least Common Multiple of 84671 and 84676?
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 84671 and 84676 is 7169601596.
LCM(84671,84676) = 7169601596
Least Common Multiple of 84671 and 84676 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84671 and 84676, than apply into the LCM equation.
GCF(84671,84676) = 1
LCM(84671,84676) = ( 84671 × 84676) / 1
LCM(84671,84676) = 7169601596 / 1
LCM(84671,84676) = 7169601596
Least Common Multiple (LCM) of 84671 and 84676 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84671 and 84676. First we will calculate the prime factors of 84671 and 84676.
Prime Factorization of 84671
Prime factors of 84671 are 227, 373. Prime factorization of 84671 in exponential form is:
84671 = 2271 × 3731
Prime Factorization of 84676
Prime factors of 84676 are 2, 21169. Prime factorization of 84676 in exponential form is:
84676 = 22 × 211691
Now multiplying the highest exponent prime factors to calculate the LCM of 84671 and 84676.
LCM(84671,84676) = 2271 × 3731 × 22 × 211691
LCM(84671,84676) = 7169601596
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