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What is the Least Common Multiple of 67316 and 67331?

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 67316 and 67331 is 4532453596.

LCM(67316,67331) = 4532453596

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Least Common Multiple of 67316 and 67331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67316 and 67331, than apply into the LCM equation.

GCF(67316,67331) = 1
LCM(67316,67331) = ( 67316 × 67331) / 1
LCM(67316,67331) = 4532453596 / 1
LCM(67316,67331) = 4532453596

Least Common Multiple (LCM) of 67316 and 67331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67316 and 67331. First we will calculate the prime factors of 67316 and 67331.

Prime Factorization of 67316

Prime factors of 67316 are 2, 16829. Prime factorization of 67316 in exponential form is:

67316 = 22 × 168291

Prime Factorization of 67331

Prime factors of 67331 are 11, 6121. Prime factorization of 67331 in exponential form is:

67331 = 111 × 61211

Now multiplying the highest exponent prime factors to calculate the LCM of 67316 and 67331.

LCM(67316,67331) = 22 × 168291 × 111 × 61211
LCM(67316,67331) = 4532453596