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What is the Least Common Multiple of 67346 and 67357?

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 67346 and 67357 is 4536224522.

LCM(67346,67357) = 4536224522

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Least Common Multiple of 67346 and 67357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67346 and 67357, than apply into the LCM equation.

GCF(67346,67357) = 1
LCM(67346,67357) = ( 67346 × 67357) / 1
LCM(67346,67357) = 4536224522 / 1
LCM(67346,67357) = 4536224522

Least Common Multiple (LCM) of 67346 and 67357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67346 and 67357. First we will calculate the prime factors of 67346 and 67357.

Prime Factorization of 67346

Prime factors of 67346 are 2, 151, 223. Prime factorization of 67346 in exponential form is:

67346 = 21 × 1511 × 2231

Prime Factorization of 67357

Prime factors of 67357 are 193, 349. Prime factorization of 67357 in exponential form is:

67357 = 1931 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 67346 and 67357.

LCM(67346,67357) = 21 × 1511 × 2231 × 1931 × 3491
LCM(67346,67357) = 4536224522