What is the Least Common Multiple of 66839 and 66855?
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 66839 and 66855 is 4468521345.
LCM(66839,66855) = 4468521345
Least Common Multiple of 66839 and 66855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66839 and 66855, than apply into the LCM equation.
GCF(66839,66855) = 1
LCM(66839,66855) = ( 66839 × 66855) / 1
LCM(66839,66855) = 4468521345 / 1
LCM(66839,66855) = 4468521345
Least Common Multiple (LCM) of 66839 and 66855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66839 and 66855. First we will calculate the prime factors of 66839 and 66855.
Prime Factorization of 66839
Prime factors of 66839 are 89, 751. Prime factorization of 66839 in exponential form is:
66839 = 891 × 7511
Prime Factorization of 66855
Prime factors of 66855 are 3, 5, 4457. Prime factorization of 66855 in exponential form is:
66855 = 31 × 51 × 44571
Now multiplying the highest exponent prime factors to calculate the LCM of 66839 and 66855.
LCM(66839,66855) = 891 × 7511 × 31 × 51 × 44571
LCM(66839,66855) = 4468521345
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