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What is the Least Common Multiple of 93214 and 93225?

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 93214 and 93225 is 789988650.

LCM(93214,93225) = 789988650

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Least Common Multiple of 93214 and 93225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93214 and 93225, than apply into the LCM equation.

GCF(93214,93225) = 11
LCM(93214,93225) = ( 93214 × 93225) / 11
LCM(93214,93225) = 8689875150 / 11
LCM(93214,93225) = 789988650

Least Common Multiple (LCM) of 93214 and 93225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93214 and 93225. First we will calculate the prime factors of 93214 and 93225.

Prime Factorization of 93214

Prime factors of 93214 are 2, 11, 19, 223. Prime factorization of 93214 in exponential form is:

93214 = 21 × 111 × 191 × 2231

Prime Factorization of 93225

Prime factors of 93225 are 3, 5, 11, 113. Prime factorization of 93225 in exponential form is:

93225 = 31 × 52 × 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 93214 and 93225.

LCM(93214,93225) = 21 × 111 × 191 × 2231 × 31 × 52 × 1131
LCM(93214,93225) = 789988650