What is the Least Common Multiple of 8366 and 8381?
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 8366 and 8381 is 70115446.
LCM(8366,8381) = 70115446
Least Common Multiple of 8366 and 8381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8366 and 8381, than apply into the LCM equation.
GCF(8366,8381) = 1
LCM(8366,8381) = ( 8366 × 8381) / 1
LCM(8366,8381) = 70115446 / 1
LCM(8366,8381) = 70115446
Least Common Multiple (LCM) of 8366 and 8381 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8366 and 8381. First we will calculate the prime factors of 8366 and 8381.
Prime Factorization of 8366
Prime factors of 8366 are 2, 47, 89. Prime factorization of 8366 in exponential form is:
8366 = 21 × 471 × 891
Prime Factorization of 8381
Prime factors of 8381 are 17, 29. Prime factorization of 8381 in exponential form is:
8381 = 172 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 8366 and 8381.
LCM(8366,8381) = 21 × 471 × 891 × 172 × 291
LCM(8366,8381) = 70115446
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