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What is the Least Common Multiple of 65320 and 65331?

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 65320 and 65331 is 4267420920.

LCM(65320,65331) = 4267420920

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Least Common Multiple of 65320 and 65331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65320 and 65331, than apply into the LCM equation.

GCF(65320,65331) = 1
LCM(65320,65331) = ( 65320 × 65331) / 1
LCM(65320,65331) = 4267420920 / 1
LCM(65320,65331) = 4267420920

Least Common Multiple (LCM) of 65320 and 65331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65320 and 65331. First we will calculate the prime factors of 65320 and 65331.

Prime Factorization of 65320

Prime factors of 65320 are 2, 5, 23, 71. Prime factorization of 65320 in exponential form is:

65320 = 23 × 51 × 231 × 711

Prime Factorization of 65331

Prime factors of 65331 are 3, 7, 17, 61. Prime factorization of 65331 in exponential form is:

65331 = 32 × 71 × 171 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 65320 and 65331.

LCM(65320,65331) = 23 × 51 × 231 × 711 × 32 × 71 × 171 × 611
LCM(65320,65331) = 4267420920