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What is the Least Common Multiple of 67216 and 67231?

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 67216 and 67231 is 4518998896.

LCM(67216,67231) = 4518998896

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Least Common Multiple of 67216 and 67231 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67216 and 67231, than apply into the LCM equation.

GCF(67216,67231) = 1
LCM(67216,67231) = ( 67216 × 67231) / 1
LCM(67216,67231) = 4518998896 / 1
LCM(67216,67231) = 4518998896

Least Common Multiple (LCM) of 67216 and 67231 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67216 and 67231. First we will calculate the prime factors of 67216 and 67231.

Prime Factorization of 67216

Prime factors of 67216 are 2, 4201. Prime factorization of 67216 in exponential form is:

67216 = 24 × 42011

Prime Factorization of 67231

Prime factors of 67231 are 67231. Prime factorization of 67231 in exponential form is:

67231 = 672311

Now multiplying the highest exponent prime factors to calculate the LCM of 67216 and 67231.

LCM(67216,67231) = 24 × 42011 × 672311
LCM(67216,67231) = 4518998896