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What is the Least Common Multiple of 68040 and 68058?

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 68040 and 68058 is 257259240.

LCM(68040,68058) = 257259240

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Least Common Multiple of 68040 and 68058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68040 and 68058, than apply into the LCM equation.

GCF(68040,68058) = 18
LCM(68040,68058) = ( 68040 × 68058) / 18
LCM(68040,68058) = 4630666320 / 18
LCM(68040,68058) = 257259240

Least Common Multiple (LCM) of 68040 and 68058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68040 and 68058. First we will calculate the prime factors of 68040 and 68058.

Prime Factorization of 68040

Prime factors of 68040 are 2, 3, 5, 7. Prime factorization of 68040 in exponential form is:

68040 = 23 × 35 × 51 × 71

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

Now multiplying the highest exponent prime factors to calculate the LCM of 68040 and 68058.

LCM(68040,68058) = 23 × 35 × 51 × 71 × 191 × 1991
LCM(68040,68058) = 257259240