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What is the Least Common Multiple of 67321 and 67340?

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 67321 and 67340 is 4533396140.

LCM(67321,67340) = 4533396140

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Least Common Multiple of 67321 and 67340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67321 and 67340, than apply into the LCM equation.

GCF(67321,67340) = 1
LCM(67321,67340) = ( 67321 × 67340) / 1
LCM(67321,67340) = 4533396140 / 1
LCM(67321,67340) = 4533396140

Least Common Multiple (LCM) of 67321 and 67340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67321 and 67340. First we will calculate the prime factors of 67321 and 67340.

Prime Factorization of 67321

Prime factors of 67321 are 23, 2927. Prime factorization of 67321 in exponential form is:

67321 = 231 × 29271

Prime Factorization of 67340

Prime factors of 67340 are 2, 5, 7, 13, 37. Prime factorization of 67340 in exponential form is:

67340 = 22 × 51 × 71 × 131 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 67321 and 67340.

LCM(67321,67340) = 231 × 29271 × 22 × 51 × 71 × 131 × 371
LCM(67321,67340) = 4533396140