What is the Least Common Multiple of 6256 and 6276?
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 6256 and 6276 is 9815664.
LCM(6256,6276) = 9815664
Least Common Multiple of 6256 and 6276 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6256 and 6276, than apply into the LCM equation.
GCF(6256,6276) = 4
LCM(6256,6276) = ( 6256 × 6276) / 4
LCM(6256,6276) = 39262656 / 4
LCM(6256,6276) = 9815664
Least Common Multiple (LCM) of 6256 and 6276 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6256 and 6276. First we will calculate the prime factors of 6256 and 6276.
Prime Factorization of 6256
Prime factors of 6256 are 2, 17, 23. Prime factorization of 6256 in exponential form is:
6256 = 24 × 171 × 231
Prime Factorization of 6276
Prime factors of 6276 are 2, 3, 523. Prime factorization of 6276 in exponential form is:
6276 = 22 × 31 × 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 6256 and 6276.
LCM(6256,6276) = 24 × 171 × 231 × 31 × 5231
LCM(6256,6276) = 9815664
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