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What is the Least Common Multiple of 68850 and 68858?

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 68850 and 68858 is 2370436650.

LCM(68850,68858) = 2370436650

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Least Common Multiple of 68850 and 68858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68850 and 68858, than apply into the LCM equation.

GCF(68850,68858) = 2
LCM(68850,68858) = ( 68850 × 68858) / 2
LCM(68850,68858) = 4740873300 / 2
LCM(68850,68858) = 2370436650

Least Common Multiple (LCM) of 68850 and 68858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68850 and 68858. First we will calculate the prime factors of 68850 and 68858.

Prime Factorization of 68850

Prime factors of 68850 are 2, 3, 5, 17. Prime factorization of 68850 in exponential form is:

68850 = 21 × 34 × 52 × 171

Prime Factorization of 68858

Prime factors of 68858 are 2, 34429. Prime factorization of 68858 in exponential form is:

68858 = 21 × 344291

Now multiplying the highest exponent prime factors to calculate the LCM of 68850 and 68858.

LCM(68850,68858) = 21 × 34 × 52 × 171 × 344291
LCM(68850,68858) = 2370436650