What is the Least Common Multiple of 8371 and 8389?
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 8371 and 8389 is 70224319.
LCM(8371,8389) = 70224319
Least Common Multiple of 8371 and 8389 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8371 and 8389, than apply into the LCM equation.
GCF(8371,8389) = 1
LCM(8371,8389) = ( 8371 × 8389) / 1
LCM(8371,8389) = 70224319 / 1
LCM(8371,8389) = 70224319
Least Common Multiple (LCM) of 8371 and 8389 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8371 and 8389. First we will calculate the prime factors of 8371 and 8389.
Prime Factorization of 8371
Prime factors of 8371 are 11, 761. Prime factorization of 8371 in exponential form is:
8371 = 111 × 7611
Prime Factorization of 8389
Prime factors of 8389 are 8389. Prime factorization of 8389 in exponential form is:
8389 = 83891
Now multiplying the highest exponent prime factors to calculate the LCM of 8371 and 8389.
LCM(8371,8389) = 111 × 7611 × 83891
LCM(8371,8389) = 70224319
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