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What is the Least Common Multiple of 67828 and 67842?

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 67828 and 67842 is 2300793588.

LCM(67828,67842) = 2300793588

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Least Common Multiple of 67828 and 67842 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67828 and 67842, than apply into the LCM equation.

GCF(67828,67842) = 2
LCM(67828,67842) = ( 67828 × 67842) / 2
LCM(67828,67842) = 4601587176 / 2
LCM(67828,67842) = 2300793588

Least Common Multiple (LCM) of 67828 and 67842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67828 and 67842. First we will calculate the prime factors of 67828 and 67842.

Prime Factorization of 67828

Prime factors of 67828 are 2, 31, 547. Prime factorization of 67828 in exponential form is:

67828 = 22 × 311 × 5471

Prime Factorization of 67842

Prime factors of 67842 are 2, 3, 3769. Prime factorization of 67842 in exponential form is:

67842 = 21 × 32 × 37691

Now multiplying the highest exponent prime factors to calculate the LCM of 67828 and 67842.

LCM(67828,67842) = 22 × 311 × 5471 × 32 × 37691
LCM(67828,67842) = 2300793588