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What is the Least Common Multiple of 65088 and 65107?

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 65088 and 65107 is 4237684416.

LCM(65088,65107) = 4237684416

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Least Common Multiple of 65088 and 65107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65088 and 65107, than apply into the LCM equation.

GCF(65088,65107) = 1
LCM(65088,65107) = ( 65088 × 65107) / 1
LCM(65088,65107) = 4237684416 / 1
LCM(65088,65107) = 4237684416

Least Common Multiple (LCM) of 65088 and 65107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65088 and 65107. First we will calculate the prime factors of 65088 and 65107.

Prime Factorization of 65088

Prime factors of 65088 are 2, 3, 113. Prime factorization of 65088 in exponential form is:

65088 = 26 × 32 × 1131

Prime Factorization of 65107

Prime factors of 65107 are 7, 71, 131. Prime factorization of 65107 in exponential form is:

65107 = 71 × 711 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 65088 and 65107.

LCM(65088,65107) = 26 × 32 × 1131 × 71 × 711 × 1311
LCM(65088,65107) = 4237684416