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What is the Least Common Multiple of 93190 and 93210?

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 93190 and 93210 is 868623990.

LCM(93190,93210) = 868623990

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Least Common Multiple of 93190 and 93210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93190 and 93210, than apply into the LCM equation.

GCF(93190,93210) = 10
LCM(93190,93210) = ( 93190 × 93210) / 10
LCM(93190,93210) = 8686239900 / 10
LCM(93190,93210) = 868623990

Least Common Multiple (LCM) of 93190 and 93210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93190 and 93210. First we will calculate the prime factors of 93190 and 93210.

Prime Factorization of 93190

Prime factors of 93190 are 2, 5, 9319. Prime factorization of 93190 in exponential form is:

93190 = 21 × 51 × 93191

Prime Factorization of 93210

Prime factors of 93210 are 2, 3, 5, 13, 239. Prime factorization of 93210 in exponential form is:

93210 = 21 × 31 × 51 × 131 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 93190 and 93210.

LCM(93190,93210) = 21 × 51 × 93191 × 31 × 131 × 2391
LCM(93190,93210) = 868623990