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What is the Least Common Multiple of 67342 and 67360?

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 67342 and 67360 is 2268078560.

LCM(67342,67360) = 2268078560

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Least Common Multiple of 67342 and 67360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67342 and 67360, than apply into the LCM equation.

GCF(67342,67360) = 2
LCM(67342,67360) = ( 67342 × 67360) / 2
LCM(67342,67360) = 4536157120 / 2
LCM(67342,67360) = 2268078560

Least Common Multiple (LCM) of 67342 and 67360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67342 and 67360. First we will calculate the prime factors of 67342 and 67360.

Prime Factorization of 67342

Prime factors of 67342 are 2, 11, 3061. Prime factorization of 67342 in exponential form is:

67342 = 21 × 111 × 30611

Prime Factorization of 67360

Prime factors of 67360 are 2, 5, 421. Prime factorization of 67360 in exponential form is:

67360 = 25 × 51 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 67342 and 67360.

LCM(67342,67360) = 25 × 111 × 30611 × 51 × 4211
LCM(67342,67360) = 2268078560