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What is the Least Common Multiple of 92334 and 92350?

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 92334 and 92350 is 4263522450.

LCM(92334,92350) = 4263522450

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Least Common Multiple of 92334 and 92350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92334 and 92350, than apply into the LCM equation.

GCF(92334,92350) = 2
LCM(92334,92350) = ( 92334 × 92350) / 2
LCM(92334,92350) = 8527044900 / 2
LCM(92334,92350) = 4263522450

Least Common Multiple (LCM) of 92334 and 92350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92334 and 92350. First we will calculate the prime factors of 92334 and 92350.

Prime Factorization of 92334

Prime factors of 92334 are 2, 3, 11, 1399. Prime factorization of 92334 in exponential form is:

92334 = 21 × 31 × 111 × 13991

Prime Factorization of 92350

Prime factors of 92350 are 2, 5, 1847. Prime factorization of 92350 in exponential form is:

92350 = 21 × 52 × 18471

Now multiplying the highest exponent prime factors to calculate the LCM of 92334 and 92350.

LCM(92334,92350) = 21 × 31 × 111 × 13991 × 52 × 18471
LCM(92334,92350) = 4263522450