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What is the Least Common Multiple of 68335 and 68354?

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 68335 and 68354 is 4670970590.

LCM(68335,68354) = 4670970590

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Least Common Multiple of 68335 and 68354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68335 and 68354, than apply into the LCM equation.

GCF(68335,68354) = 1
LCM(68335,68354) = ( 68335 × 68354) / 1
LCM(68335,68354) = 4670970590 / 1
LCM(68335,68354) = 4670970590

Least Common Multiple (LCM) of 68335 and 68354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68335 and 68354. First we will calculate the prime factors of 68335 and 68354.

Prime Factorization of 68335

Prime factors of 68335 are 5, 79, 173. Prime factorization of 68335 in exponential form is:

68335 = 51 × 791 × 1731

Prime Factorization of 68354

Prime factors of 68354 are 2, 11, 13, 239. Prime factorization of 68354 in exponential form is:

68354 = 21 × 111 × 131 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 68335 and 68354.

LCM(68335,68354) = 51 × 791 × 1731 × 21 × 111 × 131 × 2391
LCM(68335,68354) = 4670970590