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What is the Least Common Multiple of 67838 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 67838 and 67842 is 2301132798.

LCM(67838,67842) = 2301132798

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Least Common Multiple of 67838 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 67838 and 67842, than apply into the LCM equation.

GCF(67838,67842) = 2
LCM(67838,67842) = ( 67838 × 67842) / 2
LCM(67838,67842) = 4602265596 / 2
LCM(67838,67842) = 2301132798

Least Common Multiple (LCM) of 67838 and 67842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67838 and 67842. First we will calculate the prime factors of 67838 and 67842.

Prime Factorization of 67838

Prime factors of 67838 are 2, 107, 317. Prime factorization of 67838 in exponential form is:

67838 = 21 × 1071 × 3171

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 67838 and 67842.

LCM(67838,67842) = 21 × 1071 × 3171 × 32 × 37691
LCM(67838,67842) = 2301132798