What is the Least Common Multiple of 64276 and 64281?
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 64276 and 64281 is 4131725556.
LCM(64276,64281) = 4131725556
Least Common Multiple of 64276 and 64281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64276 and 64281, than apply into the LCM equation.
GCF(64276,64281) = 1
LCM(64276,64281) = ( 64276 × 64281) / 1
LCM(64276,64281) = 4131725556 / 1
LCM(64276,64281) = 4131725556
Least Common Multiple (LCM) of 64276 and 64281 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64276 and 64281. First we will calculate the prime factors of 64276 and 64281.
Prime Factorization of 64276
Prime factors of 64276 are 2, 16069. Prime factorization of 64276 in exponential form is:
64276 = 22 × 160691
Prime Factorization of 64281
Prime factors of 64281 are 3, 7, 3061. Prime factorization of 64281 in exponential form is:
64281 = 31 × 71 × 30611
Now multiplying the highest exponent prime factors to calculate the LCM of 64276 and 64281.
LCM(64276,64281) = 22 × 160691 × 31 × 71 × 30611
LCM(64276,64281) = 4131725556
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