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What is the Least Common Multiple of 67371 and 67384?

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 67371 and 67384 is 4539727464.

LCM(67371,67384) = 4539727464

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Least Common Multiple of 67371 and 67384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67371 and 67384, than apply into the LCM equation.

GCF(67371,67384) = 1
LCM(67371,67384) = ( 67371 × 67384) / 1
LCM(67371,67384) = 4539727464 / 1
LCM(67371,67384) = 4539727464

Least Common Multiple (LCM) of 67371 and 67384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67371 and 67384. First we will calculate the prime factors of 67371 and 67384.

Prime Factorization of 67371

Prime factors of 67371 are 3, 17, 1321. Prime factorization of 67371 in exponential form is:

67371 = 31 × 171 × 13211

Prime Factorization of 67384

Prime factors of 67384 are 2, 8423. Prime factorization of 67384 in exponential form is:

67384 = 23 × 84231

Now multiplying the highest exponent prime factors to calculate the LCM of 67371 and 67384.

LCM(67371,67384) = 31 × 171 × 13211 × 23 × 84231
LCM(67371,67384) = 4539727464