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What is the Least Common Multiple of 94192 and 94210?

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 94192 and 94210 is 4436914160.

LCM(94192,94210) = 4436914160

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Least Common Multiple of 94192 and 94210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94192 and 94210, than apply into the LCM equation.

GCF(94192,94210) = 2
LCM(94192,94210) = ( 94192 × 94210) / 2
LCM(94192,94210) = 8873828320 / 2
LCM(94192,94210) = 4436914160

Least Common Multiple (LCM) of 94192 and 94210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94192 and 94210. First we will calculate the prime factors of 94192 and 94210.

Prime Factorization of 94192

Prime factors of 94192 are 2, 7, 29. Prime factorization of 94192 in exponential form is:

94192 = 24 × 71 × 292

Prime Factorization of 94210

Prime factors of 94210 are 2, 5, 9421. Prime factorization of 94210 in exponential form is:

94210 = 21 × 51 × 94211

Now multiplying the highest exponent prime factors to calculate the LCM of 94192 and 94210.

LCM(94192,94210) = 24 × 71 × 292 × 51 × 94211
LCM(94192,94210) = 4436914160