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What is the Least Common Multiple of 67324 and 67330?

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 67324 and 67330 is 2266462460.

LCM(67324,67330) = 2266462460

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Least Common Multiple of 67324 and 67330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67324 and 67330, than apply into the LCM equation.

GCF(67324,67330) = 2
LCM(67324,67330) = ( 67324 × 67330) / 2
LCM(67324,67330) = 4532924920 / 2
LCM(67324,67330) = 2266462460

Least Common Multiple (LCM) of 67324 and 67330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67324 and 67330. First we will calculate the prime factors of 67324 and 67330.

Prime Factorization of 67324

Prime factors of 67324 are 2, 16831. Prime factorization of 67324 in exponential form is:

67324 = 22 × 168311

Prime Factorization of 67330

Prime factors of 67330 are 2, 5, 6733. Prime factorization of 67330 in exponential form is:

67330 = 21 × 51 × 67331

Now multiplying the highest exponent prime factors to calculate the LCM of 67324 and 67330.

LCM(67324,67330) = 22 × 168311 × 51 × 67331
LCM(67324,67330) = 2266462460