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What is the Least Common Multiple of 68734 and 68751?

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 68734 and 68751 is 4725531234.

LCM(68734,68751) = 4725531234

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Least Common Multiple of 68734 and 68751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68734 and 68751, than apply into the LCM equation.

GCF(68734,68751) = 1
LCM(68734,68751) = ( 68734 × 68751) / 1
LCM(68734,68751) = 4725531234 / 1
LCM(68734,68751) = 4725531234

Least Common Multiple (LCM) of 68734 and 68751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68734 and 68751. First we will calculate the prime factors of 68734 and 68751.

Prime Factorization of 68734

Prime factors of 68734 are 2, 34367. Prime factorization of 68734 in exponential form is:

68734 = 21 × 343671

Prime Factorization of 68751

Prime factors of 68751 are 3, 7639. Prime factorization of 68751 in exponential form is:

68751 = 32 × 76391

Now multiplying the highest exponent prime factors to calculate the LCM of 68734 and 68751.

LCM(68734,68751) = 21 × 343671 × 32 × 76391
LCM(68734,68751) = 4725531234