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What is the Least Common Multiple of 67429 and 67444?

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 67429 and 67444 is 4547681476.

LCM(67429,67444) = 4547681476

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Least Common Multiple of 67429 and 67444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67429 and 67444, than apply into the LCM equation.

GCF(67429,67444) = 1
LCM(67429,67444) = ( 67429 × 67444) / 1
LCM(67429,67444) = 4547681476 / 1
LCM(67429,67444) = 4547681476

Least Common Multiple (LCM) of 67429 and 67444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67429 and 67444. First we will calculate the prime factors of 67429 and 67444.

Prime Factorization of 67429

Prime factors of 67429 are 67429. Prime factorization of 67429 in exponential form is:

67429 = 674291

Prime Factorization of 67444

Prime factors of 67444 are 2, 13, 1297. Prime factorization of 67444 in exponential form is:

67444 = 22 × 131 × 12971

Now multiplying the highest exponent prime factors to calculate the LCM of 67429 and 67444.

LCM(67429,67444) = 674291 × 22 × 131 × 12971
LCM(67429,67444) = 4547681476