What is the Least Common Multiple of 8496 and 8500?
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 8496 and 8500 is 18054000.
LCM(8496,8500) = 18054000
Least Common Multiple of 8496 and 8500 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8496 and 8500, than apply into the LCM equation.
GCF(8496,8500) = 4
LCM(8496,8500) = ( 8496 × 8500) / 4
LCM(8496,8500) = 72216000 / 4
LCM(8496,8500) = 18054000
Least Common Multiple (LCM) of 8496 and 8500 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8496 and 8500. First we will calculate the prime factors of 8496 and 8500.
Prime Factorization of 8496
Prime factors of 8496 are 2, 3, 59. Prime factorization of 8496 in exponential form is:
8496 = 24 × 32 × 591
Prime Factorization of 8500
Prime factors of 8500 are 2, 5, 17. Prime factorization of 8500 in exponential form is:
8500 = 22 × 53 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 8496 and 8500.
LCM(8496,8500) = 24 × 32 × 591 × 53 × 171
LCM(8496,8500) = 18054000
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