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What is the Least Common Multiple of 68012 and 68030?

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 68030 is 2313428180.

LCM(68012,68030) = 2313428180

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Least Common Multiple of 68012 and 68030 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 68030, than apply into the LCM equation.

GCF(68012,68030) = 2
LCM(68012,68030) = ( 68012 × 68030) / 2
LCM(68012,68030) = 4626856360 / 2
LCM(68012,68030) = 2313428180

Least Common Multiple (LCM) of 68012 and 68030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68012 and 68030. First we will calculate the prime factors of 68012 and 68030.

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 68030

Prime factors of 68030 are 2, 5, 6803. Prime factorization of 68030 in exponential form is:

68030 = 21 × 51 × 68031

Now multiplying the highest exponent prime factors to calculate the LCM of 68012 and 68030.

LCM(68012,68030) = 22 × 72 × 3471 × 51 × 68031
LCM(68012,68030) = 2313428180