What is the Least Common Multiple of 6268 and 6288?
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 6268 and 6288 is 9853296.
LCM(6268,6288) = 9853296
Least Common Multiple of 6268 and 6288 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6268 and 6288, than apply into the LCM equation.
GCF(6268,6288) = 4
LCM(6268,6288) = ( 6268 × 6288) / 4
LCM(6268,6288) = 39413184 / 4
LCM(6268,6288) = 9853296
Least Common Multiple (LCM) of 6268 and 6288 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 6268 and 6288. First we will calculate the prime factors of 6268 and 6288.
Prime Factorization of 6268
Prime factors of 6268 are 2, 1567. Prime factorization of 6268 in exponential form is:
6268 = 22 × 15671
Prime Factorization of 6288
Prime factors of 6288 are 2, 3, 131. Prime factorization of 6288 in exponential form is:
6288 = 24 × 31 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 6268 and 6288.
LCM(6268,6288) = 24 × 15671 × 31 × 1311
LCM(6268,6288) = 9853296
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