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What is the Least Common Multiple of 67263 and 67277?

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 67263 and 67277 is 646464693.

LCM(67263,67277) = 646464693

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Least Common Multiple of 67263 and 67277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67263 and 67277, than apply into the LCM equation.

GCF(67263,67277) = 7
LCM(67263,67277) = ( 67263 × 67277) / 7
LCM(67263,67277) = 4525252851 / 7
LCM(67263,67277) = 646464693

Least Common Multiple (LCM) of 67263 and 67277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67263 and 67277. First we will calculate the prime factors of 67263 and 67277.

Prime Factorization of 67263

Prime factors of 67263 are 3, 7, 3203. Prime factorization of 67263 in exponential form is:

67263 = 31 × 71 × 32031

Prime Factorization of 67277

Prime factors of 67277 are 7, 1373. Prime factorization of 67277 in exponential form is:

67277 = 72 × 13731

Now multiplying the highest exponent prime factors to calculate the LCM of 67263 and 67277.

LCM(67263,67277) = 31 × 72 × 32031 × 13731
LCM(67263,67277) = 646464693