What is the Least Common Multiple of 64835 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 64835 and 64841 is 4203966235.
LCM(64835,64841) = 4203966235
Least Common Multiple of 64835 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 64835 and 64841, than apply into the LCM equation.
GCF(64835,64841) = 1
LCM(64835,64841) = ( 64835 × 64841) / 1
LCM(64835,64841) = 4203966235 / 1
LCM(64835,64841) = 4203966235
Least Common Multiple (LCM) of 64835 and 64841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64835 and 64841. First we will calculate the prime factors of 64835 and 64841.
Prime Factorization of 64835
Prime factors of 64835 are 5, 12967. Prime factorization of 64835 in exponential form is:
64835 = 51 × 129671
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 64835 and 64841.
LCM(64835,64841) = 51 × 129671 × 71 × 591 × 1571
LCM(64835,64841) = 4203966235
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