What is the Least Common Multiple of 64826 and 64845?
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 64845 is 4203641970.
LCM(64826,64845) = 4203641970
Least Common Multiple of 64826 and 64845 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 64845, than apply into the LCM equation.
GCF(64826,64845) = 1
LCM(64826,64845) = ( 64826 × 64845) / 1
LCM(64826,64845) = 4203641970 / 1
LCM(64826,64845) = 4203641970
Least Common Multiple (LCM) of 64826 and 64845 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64826 and 64845. First we will calculate the prime factors of 64826 and 64845.
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 64845
Prime factors of 64845 are 3, 5, 11, 131. Prime factorization of 64845 in exponential form is:
64845 = 32 × 51 × 111 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 64826 and 64845.
LCM(64826,64845) = 21 × 324131 × 32 × 51 × 111 × 1311
LCM(64826,64845) = 4203641970
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