What is the Least Common Multiple of 64843 and 64848?
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 64843 and 64848 is 4204938864.
LCM(64843,64848) = 4204938864
Least Common Multiple of 64843 and 64848 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64843 and 64848, than apply into the LCM equation.
GCF(64843,64848) = 1
LCM(64843,64848) = ( 64843 × 64848) / 1
LCM(64843,64848) = 4204938864 / 1
LCM(64843,64848) = 4204938864
Least Common Multiple (LCM) of 64843 and 64848 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64843 and 64848. First we will calculate the prime factors of 64843 and 64848.
Prime Factorization of 64843
Prime factors of 64843 are 61, 1063. Prime factorization of 64843 in exponential form is:
64843 = 611 × 10631
Prime Factorization of 64848
Prime factors of 64848 are 2, 3, 7, 193. Prime factorization of 64848 in exponential form is:
64848 = 24 × 31 × 71 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 64843 and 64848.
LCM(64843,64848) = 611 × 10631 × 24 × 31 × 71 × 1931
LCM(64843,64848) = 4204938864
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