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What is the Least Common Multiple of 85 and 93?

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 85 and 93 is 7905.

LCM(85,93) = 7905

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Least Common Multiple of 85 and 93 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85 and 93, than apply into the LCM equation.

GCF(85,93) = 1
LCM(85,93) = ( 85 × 93) / 1
LCM(85,93) = 7905 / 1
LCM(85,93) = 7905

Least Common Multiple (LCM) of 85 and 93 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85 and 93. First we will calculate the prime factors of 85 and 93.

Prime Factorization of 85

Prime factors of 85 are 5, 17. Prime factorization of 85 in exponential form is:

85 = 51 × 171

Prime Factorization of 93

Prime factors of 93 are 3, 31. Prime factorization of 93 in exponential form is:

93 = 31 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 85 and 93.

LCM(85,93) = 51 × 171 × 31 × 311
LCM(85,93) = 7905

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