What is the Least Common Multiple of 66823 and 66841?
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 66823 and 66841 is 4466516143.
LCM(66823,66841) = 4466516143
Least Common Multiple of 66823 and 66841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66823 and 66841, than apply into the LCM equation.
GCF(66823,66841) = 1
LCM(66823,66841) = ( 66823 × 66841) / 1
LCM(66823,66841) = 4466516143 / 1
LCM(66823,66841) = 4466516143
Least Common Multiple (LCM) of 66823 and 66841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66823 and 66841. First we will calculate the prime factors of 66823 and 66841.
Prime Factorization of 66823
Prime factors of 66823 are 19, 3517. Prime factorization of 66823 in exponential form is:
66823 = 191 × 35171
Prime Factorization of 66841
Prime factors of 66841 are 66841. Prime factorization of 66841 in exponential form is:
66841 = 668411
Now multiplying the highest exponent prime factors to calculate the LCM of 66823 and 66841.
LCM(66823,66841) = 191 × 35171 × 668411
LCM(66823,66841) = 4466516143
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