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What is the Least Common Multiple of 67402 and 67406?

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 67402 and 67406 is 2271649606.

LCM(67402,67406) = 2271649606

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Least Common Multiple of 67402 and 67406 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67402 and 67406, than apply into the LCM equation.

GCF(67402,67406) = 2
LCM(67402,67406) = ( 67402 × 67406) / 2
LCM(67402,67406) = 4543299212 / 2
LCM(67402,67406) = 2271649606

Least Common Multiple (LCM) of 67402 and 67406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67402 and 67406. First we will calculate the prime factors of 67402 and 67406.

Prime Factorization of 67402

Prime factors of 67402 are 2, 67, 503. Prime factorization of 67402 in exponential form is:

67402 = 21 × 671 × 5031

Prime Factorization of 67406

Prime factors of 67406 are 2, 33703. Prime factorization of 67406 in exponential form is:

67406 = 21 × 337031

Now multiplying the highest exponent prime factors to calculate the LCM of 67402 and 67406.

LCM(67402,67406) = 21 × 671 × 5031 × 337031
LCM(67402,67406) = 2271649606