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What is the Least Common Multiple of 66068 and 66080?

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 66068 and 66080 is 1091443360.

LCM(66068,66080) = 1091443360

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Least Common Multiple of 66068 and 66080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66068 and 66080, than apply into the LCM equation.

GCF(66068,66080) = 4
LCM(66068,66080) = ( 66068 × 66080) / 4
LCM(66068,66080) = 4365773440 / 4
LCM(66068,66080) = 1091443360

Least Common Multiple (LCM) of 66068 and 66080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66068 and 66080. First we will calculate the prime factors of 66068 and 66080.

Prime Factorization of 66068

Prime factors of 66068 are 2, 83, 199. Prime factorization of 66068 in exponential form is:

66068 = 22 × 831 × 1991

Prime Factorization of 66080

Prime factors of 66080 are 2, 5, 7, 59. Prime factorization of 66080 in exponential form is:

66080 = 25 × 51 × 71 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 66068 and 66080.

LCM(66068,66080) = 25 × 831 × 1991 × 51 × 71 × 591
LCM(66068,66080) = 1091443360