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What is the Least Common Multiple of 65070 and 65084?

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 65084 is 2117507940.

LCM(65070,65084) = 2117507940

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Least Common Multiple of 65070 and 65084 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 65084, than apply into the LCM equation.

GCF(65070,65084) = 2
LCM(65070,65084) = ( 65070 × 65084) / 2
LCM(65070,65084) = 4235015880 / 2
LCM(65070,65084) = 2117507940

Least Common Multiple (LCM) of 65070 and 65084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65070 and 65084. First we will calculate the prime factors of 65070 and 65084.

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 65084

Prime factors of 65084 are 2, 53, 307. Prime factorization of 65084 in exponential form is:

65084 = 22 × 531 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 65070 and 65084.

LCM(65070,65084) = 22 × 33 × 51 × 2411 × 531 × 3071
LCM(65070,65084) = 2117507940