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What is the Least Common Multiple of 67329 and 67341?

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 67329 and 67341 is 1511334063.

LCM(67329,67341) = 1511334063

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Least Common Multiple of 67329 and 67341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67329 and 67341, than apply into the LCM equation.

GCF(67329,67341) = 3
LCM(67329,67341) = ( 67329 × 67341) / 3
LCM(67329,67341) = 4534002189 / 3
LCM(67329,67341) = 1511334063

Least Common Multiple (LCM) of 67329 and 67341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67329 and 67341. First we will calculate the prime factors of 67329 and 67341.

Prime Factorization of 67329

Prime factors of 67329 are 3, 7481. Prime factorization of 67329 in exponential form is:

67329 = 32 × 74811

Prime Factorization of 67341

Prime factors of 67341 are 3, 22447. Prime factorization of 67341 in exponential form is:

67341 = 31 × 224471

Now multiplying the highest exponent prime factors to calculate the LCM of 67329 and 67341.

LCM(67329,67341) = 32 × 74811 × 224471
LCM(67329,67341) = 1511334063