What is the Least Common Multiple of 64848 and 64866?
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 64848 and 64866 is 701071728.
LCM(64848,64866) = 701071728
Least Common Multiple of 64848 and 64866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64848 and 64866, than apply into the LCM equation.
GCF(64848,64866) = 6
LCM(64848,64866) = ( 64848 × 64866) / 6
LCM(64848,64866) = 4206430368 / 6
LCM(64848,64866) = 701071728
Least Common Multiple (LCM) of 64848 and 64866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64848 and 64866. First we will calculate the prime factors of 64848 and 64866.
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
Prime Factorization of 64866
Prime factors of 64866 are 2, 3, 19, 569. Prime factorization of 64866 in exponential form is:
64866 = 21 × 31 × 191 × 5691
Now multiplying the highest exponent prime factors to calculate the LCM of 64848 and 64866.
LCM(64848,64866) = 24 × 31 × 71 × 1931 × 191 × 5691
LCM(64848,64866) = 701071728
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