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What is the Least Common Multiple of 67432 and 67438?

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 67432 and 67438 is 2273739608.

LCM(67432,67438) = 2273739608

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Least Common Multiple of 67432 and 67438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67432 and 67438, than apply into the LCM equation.

GCF(67432,67438) = 2
LCM(67432,67438) = ( 67432 × 67438) / 2
LCM(67432,67438) = 4547479216 / 2
LCM(67432,67438) = 2273739608

Least Common Multiple (LCM) of 67432 and 67438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67432 and 67438. First we will calculate the prime factors of 67432 and 67438.

Prime Factorization of 67432

Prime factors of 67432 are 2, 8429. Prime factorization of 67432 in exponential form is:

67432 = 23 × 84291

Prime Factorization of 67438

Prime factors of 67438 are 2, 7, 4817. Prime factorization of 67438 in exponential form is:

67438 = 21 × 71 × 48171

Now multiplying the highest exponent prime factors to calculate the LCM of 67432 and 67438.

LCM(67432,67438) = 23 × 84291 × 71 × 48171
LCM(67432,67438) = 2273739608