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What is the Least Common Multiple of 64989 and 65008?

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 64989 and 65008 is 4224804912.

LCM(64989,65008) = 4224804912

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Least Common Multiple of 64989 and 65008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64989 and 65008, than apply into the LCM equation.

GCF(64989,65008) = 1
LCM(64989,65008) = ( 64989 × 65008) / 1
LCM(64989,65008) = 4224804912 / 1
LCM(64989,65008) = 4224804912

Least Common Multiple (LCM) of 64989 and 65008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64989 and 65008. First we will calculate the prime factors of 64989 and 65008.

Prime Factorization of 64989

Prime factors of 64989 are 3, 29, 83. Prime factorization of 64989 in exponential form is:

64989 = 33 × 291 × 831

Prime Factorization of 65008

Prime factors of 65008 are 2, 17, 239. Prime factorization of 65008 in exponential form is:

65008 = 24 × 171 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 64989 and 65008.

LCM(64989,65008) = 33 × 291 × 831 × 24 × 171 × 2391
LCM(64989,65008) = 4224804912