What is the Least Common Multiple of 66182 and 66191?
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 66182 and 66191 is 4380652762.
LCM(66182,66191) = 4380652762
Least Common Multiple of 66182 and 66191 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66182 and 66191, than apply into the LCM equation.
GCF(66182,66191) = 1
LCM(66182,66191) = ( 66182 × 66191) / 1
LCM(66182,66191) = 4380652762 / 1
LCM(66182,66191) = 4380652762
Least Common Multiple (LCM) of 66182 and 66191 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66182 and 66191. First we will calculate the prime factors of 66182 and 66191.
Prime Factorization of 66182
Prime factors of 66182 are 2, 33091. Prime factorization of 66182 in exponential form is:
66182 = 21 × 330911
Prime Factorization of 66191
Prime factors of 66191 are 66191. Prime factorization of 66191 in exponential form is:
66191 = 661911
Now multiplying the highest exponent prime factors to calculate the LCM of 66182 and 66191.
LCM(66182,66191) = 21 × 330911 × 661911
LCM(66182,66191) = 4380652762
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