What is the Least Common Multiple of 64826 and 64841?
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 64826 and 64841 is 4203382666.
LCM(64826,64841) = 4203382666
Least Common Multiple of 64826 and 64841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64826 and 64841, than apply into the LCM equation.
GCF(64826,64841) = 1
LCM(64826,64841) = ( 64826 × 64841) / 1
LCM(64826,64841) = 4203382666 / 1
LCM(64826,64841) = 4203382666
Least Common Multiple (LCM) of 64826 and 64841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64826 and 64841. First we will calculate the prime factors of 64826 and 64841.
Prime Factorization of 64826
Prime factors of 64826 are 2, 32413. Prime factorization of 64826 in exponential form is:
64826 = 21 × 324131
Prime Factorization of 64841
Prime factors of 64841 are 7, 59, 157. Prime factorization of 64841 in exponential form is:
64841 = 71 × 591 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 64826 and 64841.
LCM(64826,64841) = 21 × 324131 × 71 × 591 × 1571
LCM(64826,64841) = 4203382666
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