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What is the Least Common Multiple of 68830 and 68850?

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 68830 and 68850 is 473894550.

LCM(68830,68850) = 473894550

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Least Common Multiple of 68830 and 68850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68830 and 68850, than apply into the LCM equation.

GCF(68830,68850) = 10
LCM(68830,68850) = ( 68830 × 68850) / 10
LCM(68830,68850) = 4738945500 / 10
LCM(68830,68850) = 473894550

Least Common Multiple (LCM) of 68830 and 68850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68830 and 68850. First we will calculate the prime factors of 68830 and 68850.

Prime Factorization of 68830

Prime factors of 68830 are 2, 5, 6883. Prime factorization of 68830 in exponential form is:

68830 = 21 × 51 × 68831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 68830 and 68850.

LCM(68830,68850) = 21 × 52 × 68831 × 34 × 171
LCM(68830,68850) = 473894550