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What is the Least Common Multiple of 4192 and 4210?

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 4192 and 4210 is 8824160.

LCM(4192,4210) = 8824160

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Least Common Multiple of 4192 and 4210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4192 and 4210, than apply into the LCM equation.

GCF(4192,4210) = 2
LCM(4192,4210) = ( 4192 × 4210) / 2
LCM(4192,4210) = 17648320 / 2
LCM(4192,4210) = 8824160

Least Common Multiple (LCM) of 4192 and 4210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4192 and 4210. First we will calculate the prime factors of 4192 and 4210.

Prime Factorization of 4192

Prime factors of 4192 are 2, 131. Prime factorization of 4192 in exponential form is:

4192 = 25 × 1311

Prime Factorization of 4210

Prime factors of 4210 are 2, 5, 421. Prime factorization of 4210 in exponential form is:

4210 = 21 × 51 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 4192 and 4210.

LCM(4192,4210) = 25 × 1311 × 51 × 4211
LCM(4192,4210) = 8824160