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What is the Least Common Multiple of 66815 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 66815 and 66832 is 4465380080.

LCM(66815,66832) = 4465380080

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Least Common Multiple of 66815 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 66815 and 66832, than apply into the LCM equation.

GCF(66815,66832) = 1
LCM(66815,66832) = ( 66815 × 66832) / 1
LCM(66815,66832) = 4465380080 / 1
LCM(66815,66832) = 4465380080

Least Common Multiple (LCM) of 66815 and 66832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66815 and 66832. First we will calculate the prime factors of 66815 and 66832.

Prime Factorization of 66815

Prime factors of 66815 are 5, 7, 23, 83. Prime factorization of 66815 in exponential form is:

66815 = 51 × 71 × 231 × 831

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 66815 and 66832.

LCM(66815,66832) = 51 × 71 × 231 × 831 × 24 × 41771
LCM(66815,66832) = 4465380080