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What is the Least Common Multiple of 67421 and 67429?

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 67421 and 67429 is 4546130609.

LCM(67421,67429) = 4546130609

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Least Common Multiple of 67421 and 67429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67421 and 67429, than apply into the LCM equation.

GCF(67421,67429) = 1
LCM(67421,67429) = ( 67421 × 67429) / 1
LCM(67421,67429) = 4546130609 / 1
LCM(67421,67429) = 4546130609

Least Common Multiple (LCM) of 67421 and 67429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67421 and 67429. First we will calculate the prime factors of 67421 and 67429.

Prime Factorization of 67421

Prime factors of 67421 are 67421. Prime factorization of 67421 in exponential form is:

67421 = 674211

Prime Factorization of 67429

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

67429 = 674291

Now multiplying the highest exponent prime factors to calculate the LCM of 67421 and 67429.

LCM(67421,67429) = 674211 × 674291
LCM(67421,67429) = 4546130609