What is the Least Common Multiple of 8468 and 8483?
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 8468 and 8483 is 71834044.
LCM(8468,8483) = 71834044
Least Common Multiple of 8468 and 8483 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8468 and 8483, than apply into the LCM equation.
GCF(8468,8483) = 1
LCM(8468,8483) = ( 8468 × 8483) / 1
LCM(8468,8483) = 71834044 / 1
LCM(8468,8483) = 71834044
Least Common Multiple (LCM) of 8468 and 8483 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8468 and 8483. First we will calculate the prime factors of 8468 and 8483.
Prime Factorization of 8468
Prime factors of 8468 are 2, 29, 73. Prime factorization of 8468 in exponential form is:
8468 = 22 × 291 × 731
Prime Factorization of 8483
Prime factors of 8483 are 17, 499. Prime factorization of 8483 in exponential form is:
8483 = 171 × 4991
Now multiplying the highest exponent prime factors to calculate the LCM of 8468 and 8483.
LCM(8468,8483) = 22 × 291 × 731 × 171 × 4991
LCM(8468,8483) = 71834044
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