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What is the Least Common Multiple of 68012 and 68027?

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 68012 and 68027 is 4626652324.

LCM(68012,68027) = 4626652324

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Least Common Multiple of 68012 and 68027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68012 and 68027, than apply into the LCM equation.

GCF(68012,68027) = 1
LCM(68012,68027) = ( 68012 × 68027) / 1
LCM(68012,68027) = 4626652324 / 1
LCM(68012,68027) = 4626652324

Least Common Multiple (LCM) of 68012 and 68027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68012 and 68027. First we will calculate the prime factors of 68012 and 68027.

Prime Factorization of 68012

Prime factors of 68012 are 2, 7, 347. Prime factorization of 68012 in exponential form is:

68012 = 22 × 72 × 3471

Prime Factorization of 68027

Prime factors of 68027 are 59, 1153. Prime factorization of 68027 in exponential form is:

68027 = 591 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 68012 and 68027.

LCM(68012,68027) = 22 × 72 × 3471 × 591 × 11531
LCM(68012,68027) = 4626652324