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What is the Least Common Multiple of 66106 and 66113?

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 66106 and 66113 is 4370465978.

LCM(66106,66113) = 4370465978

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Least Common Multiple of 66106 and 66113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66106 and 66113, than apply into the LCM equation.

GCF(66106,66113) = 1
LCM(66106,66113) = ( 66106 × 66113) / 1
LCM(66106,66113) = 4370465978 / 1
LCM(66106,66113) = 4370465978

Least Common Multiple (LCM) of 66106 and 66113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66106 and 66113. First we will calculate the prime factors of 66106 and 66113.

Prime Factorization of 66106

Prime factors of 66106 are 2, 33053. Prime factorization of 66106 in exponential form is:

66106 = 21 × 330531

Prime Factorization of 66113

Prime factors of 66113 are 17, 3889. Prime factorization of 66113 in exponential form is:

66113 = 171 × 38891

Now multiplying the highest exponent prime factors to calculate the LCM of 66106 and 66113.

LCM(66106,66113) = 21 × 330531 × 171 × 38891
LCM(66106,66113) = 4370465978