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What is the Least Common Multiple of 67341 and 67352?

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 67341 and 67352 is 4535551032.

LCM(67341,67352) = 4535551032

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Least Common Multiple of 67341 and 67352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67341 and 67352, than apply into the LCM equation.

GCF(67341,67352) = 1
LCM(67341,67352) = ( 67341 × 67352) / 1
LCM(67341,67352) = 4535551032 / 1
LCM(67341,67352) = 4535551032

Least Common Multiple (LCM) of 67341 and 67352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67341 and 67352. First we will calculate the prime factors of 67341 and 67352.

Prime Factorization of 67341

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

67341 = 31 × 224471

Prime Factorization of 67352

Prime factors of 67352 are 2, 8419. Prime factorization of 67352 in exponential form is:

67352 = 23 × 84191

Now multiplying the highest exponent prime factors to calculate the LCM of 67341 and 67352.

LCM(67341,67352) = 31 × 224471 × 23 × 84191
LCM(67341,67352) = 4535551032