What is the Least Common Multiple of 84371 and 84381?
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 84371 and 84381 is 7119309351.
LCM(84371,84381) = 7119309351
Least Common Multiple of 84371 and 84381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84371 and 84381, than apply into the LCM equation.
GCF(84371,84381) = 1
LCM(84371,84381) = ( 84371 × 84381) / 1
LCM(84371,84381) = 7119309351 / 1
LCM(84371,84381) = 7119309351
Least Common Multiple (LCM) of 84371 and 84381 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84371 and 84381. First we will calculate the prime factors of 84371 and 84381.
Prime Factorization of 84371
Prime factors of 84371 are 7, 17, 709. Prime factorization of 84371 in exponential form is:
84371 = 71 × 171 × 7091
Prime Factorization of 84381
Prime factors of 84381 are 3, 11, 2557. Prime factorization of 84381 in exponential form is:
84381 = 31 × 111 × 25571
Now multiplying the highest exponent prime factors to calculate the LCM of 84371 and 84381.
LCM(84371,84381) = 71 × 171 × 7091 × 31 × 111 × 25571
LCM(84371,84381) = 7119309351
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