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What is the Least Common Multiple of 68058 and 68063?

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 68058 and 68063 is 4632231654.

LCM(68058,68063) = 4632231654

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Least Common Multiple of 68058 and 68063 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68058 and 68063, than apply into the LCM equation.

GCF(68058,68063) = 1
LCM(68058,68063) = ( 68058 × 68063) / 1
LCM(68058,68063) = 4632231654 / 1
LCM(68058,68063) = 4632231654

Least Common Multiple (LCM) of 68058 and 68063 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68058 and 68063. First we will calculate the prime factors of 68058 and 68063.

Prime Factorization of 68058

Prime factors of 68058 are 2, 3, 19, 199. Prime factorization of 68058 in exponential form is:

68058 = 21 × 32 × 191 × 1991

Prime Factorization of 68063

Prime factors of 68063 are 29, 2347. Prime factorization of 68063 in exponential form is:

68063 = 291 × 23471

Now multiplying the highest exponent prime factors to calculate the LCM of 68058 and 68063.

LCM(68058,68063) = 21 × 32 × 191 × 1991 × 291 × 23471
LCM(68058,68063) = 4632231654