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What is the Least Common Multiple of 67443 and 67460?

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 67443 and 67460 is 4549704780.

LCM(67443,67460) = 4549704780

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Least Common Multiple of 67443 and 67460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67443 and 67460, than apply into the LCM equation.

GCF(67443,67460) = 1
LCM(67443,67460) = ( 67443 × 67460) / 1
LCM(67443,67460) = 4549704780 / 1
LCM(67443,67460) = 4549704780

Least Common Multiple (LCM) of 67443 and 67460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67443 and 67460. First we will calculate the prime factors of 67443 and 67460.

Prime Factorization of 67443

Prime factors of 67443 are 3, 22481. Prime factorization of 67443 in exponential form is:

67443 = 31 × 224811

Prime Factorization of 67460

Prime factors of 67460 are 2, 5, 3373. Prime factorization of 67460 in exponential form is:

67460 = 22 × 51 × 33731

Now multiplying the highest exponent prime factors to calculate the LCM of 67443 and 67460.

LCM(67443,67460) = 31 × 224811 × 22 × 51 × 33731
LCM(67443,67460) = 4549704780