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What is the Least Common Multiple of 65988 and 66004?

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 65988 and 66004 is 1088867988.

LCM(65988,66004) = 1088867988

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Least Common Multiple of 65988 and 66004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65988 and 66004, than apply into the LCM equation.

GCF(65988,66004) = 4
LCM(65988,66004) = ( 65988 × 66004) / 4
LCM(65988,66004) = 4355471952 / 4
LCM(65988,66004) = 1088867988

Least Common Multiple (LCM) of 65988 and 66004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65988 and 66004. First we will calculate the prime factors of 65988 and 66004.

Prime Factorization of 65988

Prime factors of 65988 are 2, 3, 13, 47. Prime factorization of 65988 in exponential form is:

65988 = 22 × 33 × 131 × 471

Prime Factorization of 66004

Prime factors of 66004 are 2, 29, 569. Prime factorization of 66004 in exponential form is:

66004 = 22 × 291 × 5691

Now multiplying the highest exponent prime factors to calculate the LCM of 65988 and 66004.

LCM(65988,66004) = 22 × 33 × 131 × 471 × 291 × 5691
LCM(65988,66004) = 1088867988