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What is the Least Common Multiple of 65070 and 65078?

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 65070 and 65078 is 2117312730.

LCM(65070,65078) = 2117312730

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Least Common Multiple of 65070 and 65078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65070 and 65078, than apply into the LCM equation.

GCF(65070,65078) = 2
LCM(65070,65078) = ( 65070 × 65078) / 2
LCM(65070,65078) = 4234625460 / 2
LCM(65070,65078) = 2117312730

Least Common Multiple (LCM) of 65070 and 65078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65070 and 65078. First we will calculate the prime factors of 65070 and 65078.

Prime Factorization of 65070

Prime factors of 65070 are 2, 3, 5, 241. Prime factorization of 65070 in exponential form is:

65070 = 21 × 33 × 51 × 2411

Prime Factorization of 65078

Prime factors of 65078 are 2, 13, 2503. Prime factorization of 65078 in exponential form is:

65078 = 21 × 131 × 25031

Now multiplying the highest exponent prime factors to calculate the LCM of 65070 and 65078.

LCM(65070,65078) = 21 × 33 × 51 × 2411 × 131 × 25031
LCM(65070,65078) = 2117312730