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What is the Least Common Multiple of 66067 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 66067 and 66080 is 4365707360.

LCM(66067,66080) = 4365707360

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Least Common Multiple of 66067 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 66067 and 66080, than apply into the LCM equation.

GCF(66067,66080) = 1
LCM(66067,66080) = ( 66067 × 66080) / 1
LCM(66067,66080) = 4365707360 / 1
LCM(66067,66080) = 4365707360

Least Common Multiple (LCM) of 66067 and 66080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66067 and 66080. First we will calculate the prime factors of 66067 and 66080.

Prime Factorization of 66067

Prime factors of 66067 are 66067. Prime factorization of 66067 in exponential form is:

66067 = 660671

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 66067 and 66080.

LCM(66067,66080) = 660671 × 25 × 51 × 71 × 591
LCM(66067,66080) = 4365707360