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What is the Least Common Multiple of 93325 and 93335?

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 93325 and 93335 is 1742097775.

LCM(93325,93335) = 1742097775

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Least Common Multiple of 93325 and 93335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93325 and 93335, than apply into the LCM equation.

GCF(93325,93335) = 5
LCM(93325,93335) = ( 93325 × 93335) / 5
LCM(93325,93335) = 8710488875 / 5
LCM(93325,93335) = 1742097775

Least Common Multiple (LCM) of 93325 and 93335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93325 and 93335. First we will calculate the prime factors of 93325 and 93335.

Prime Factorization of 93325

Prime factors of 93325 are 5, 3733. Prime factorization of 93325 in exponential form is:

93325 = 52 × 37331

Prime Factorization of 93335

Prime factors of 93335 are 5, 11, 1697. Prime factorization of 93335 in exponential form is:

93335 = 51 × 111 × 16971

Now multiplying the highest exponent prime factors to calculate the LCM of 93325 and 93335.

LCM(93325,93335) = 52 × 37331 × 111 × 16971
LCM(93325,93335) = 1742097775