What is the Least Common Multiple of 66841 and 66857?
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 66841 and 66857 is 4468788737.
LCM(66841,66857) = 4468788737
Least Common Multiple of 66841 and 66857 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66841 and 66857, than apply into the LCM equation.
GCF(66841,66857) = 1
LCM(66841,66857) = ( 66841 × 66857) / 1
LCM(66841,66857) = 4468788737 / 1
LCM(66841,66857) = 4468788737
Least Common Multiple (LCM) of 66841 and 66857 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66841 and 66857. First we will calculate the prime factors of 66841 and 66857.
Prime Factorization of 66841
Prime factors of 66841 are 66841. Prime factorization of 66841 in exponential form is:
66841 = 668411
Prime Factorization of 66857
Prime factors of 66857 are 7, 9551. Prime factorization of 66857 in exponential form is:
66857 = 71 × 95511
Now multiplying the highest exponent prime factors to calculate the LCM of 66841 and 66857.
LCM(66841,66857) = 668411 × 71 × 95511
LCM(66841,66857) = 4468788737
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