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What is the Least Common Multiple of 67364 and 67377?

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 67364 and 67377 is 4538784228.

LCM(67364,67377) = 4538784228

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Least Common Multiple of 67364 and 67377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67364 and 67377, than apply into the LCM equation.

GCF(67364,67377) = 1
LCM(67364,67377) = ( 67364 × 67377) / 1
LCM(67364,67377) = 4538784228 / 1
LCM(67364,67377) = 4538784228

Least Common Multiple (LCM) of 67364 and 67377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67364 and 67377. First we will calculate the prime factors of 67364 and 67377.

Prime Factorization of 67364

Prime factors of 67364 are 2, 11, 1531. Prime factorization of 67364 in exponential form is:

67364 = 22 × 111 × 15311

Prime Factorization of 67377

Prime factors of 67377 are 3, 37, 607. Prime factorization of 67377 in exponential form is:

67377 = 31 × 371 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 67364 and 67377.

LCM(67364,67377) = 22 × 111 × 15311 × 31 × 371 × 6071
LCM(67364,67377) = 4538784228