What is the Least Common Multiple of 66059 and 66068?
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 66059 and 66068 is 4364386012.
LCM(66059,66068) = 4364386012
Least Common Multiple of 66059 and 66068 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66059 and 66068, than apply into the LCM equation.
GCF(66059,66068) = 1
LCM(66059,66068) = ( 66059 × 66068) / 1
LCM(66059,66068) = 4364386012 / 1
LCM(66059,66068) = 4364386012
Least Common Multiple (LCM) of 66059 and 66068 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66059 and 66068. First we will calculate the prime factors of 66059 and 66068.
Prime Factorization of 66059
Prime factors of 66059 are 7, 9437. Prime factorization of 66059 in exponential form is:
66059 = 71 × 94371
Prime Factorization of 66068
Prime factors of 66068 are 2, 83, 199. Prime factorization of 66068 in exponential form is:
66068 = 22 × 831 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 66059 and 66068.
LCM(66059,66068) = 71 × 94371 × 22 × 831 × 1991
LCM(66059,66068) = 4364386012
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