What is the Least Common Multiple of 66818 and 66832?
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 66818 and 66832 is 2232790288.
LCM(66818,66832) = 2232790288
Least Common Multiple of 66818 and 66832 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66818 and 66832, than apply into the LCM equation.
GCF(66818,66832) = 2
LCM(66818,66832) = ( 66818 × 66832) / 2
LCM(66818,66832) = 4465580576 / 2
LCM(66818,66832) = 2232790288
Least Common Multiple (LCM) of 66818 and 66832 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66818 and 66832. First we will calculate the prime factors of 66818 and 66832.
Prime Factorization of 66818
Prime factors of 66818 are 2, 33409. Prime factorization of 66818 in exponential form is:
66818 = 21 × 334091
Prime Factorization of 66832
Prime factors of 66832 are 2, 4177. Prime factorization of 66832 in exponential form is:
66832 = 24 × 41771
Now multiplying the highest exponent prime factors to calculate the LCM of 66818 and 66832.
LCM(66818,66832) = 24 × 334091 × 41771
LCM(66818,66832) = 2232790288
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