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What is the Least Common Multiple of 65989 and 66008?

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 65989 and 66008 is 4355801912.

LCM(65989,66008) = 4355801912

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Least Common Multiple of 65989 and 66008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65989 and 66008, than apply into the LCM equation.

GCF(65989,66008) = 1
LCM(65989,66008) = ( 65989 × 66008) / 1
LCM(65989,66008) = 4355801912 / 1
LCM(65989,66008) = 4355801912

Least Common Multiple (LCM) of 65989 and 66008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65989 and 66008. First we will calculate the prime factors of 65989 and 66008.

Prime Factorization of 65989

Prime factors of 65989 are 7, 11, 857. Prime factorization of 65989 in exponential form is:

65989 = 71 × 111 × 8571

Prime Factorization of 66008

Prime factors of 66008 are 2, 37, 223. Prime factorization of 66008 in exponential form is:

66008 = 23 × 371 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 65989 and 66008.

LCM(65989,66008) = 71 × 111 × 8571 × 23 × 371 × 2231
LCM(65989,66008) = 4355801912