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What is the Least Common Multiple of 92046 and 92062?

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 92046 and 92062 is 4236969426.

LCM(92046,92062) = 4236969426

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Least Common Multiple of 92046 and 92062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92046 and 92062, than apply into the LCM equation.

GCF(92046,92062) = 2
LCM(92046,92062) = ( 92046 × 92062) / 2
LCM(92046,92062) = 8473938852 / 2
LCM(92046,92062) = 4236969426

Least Common Multiple (LCM) of 92046 and 92062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92046 and 92062. First we will calculate the prime factors of 92046 and 92062.

Prime Factorization of 92046

Prime factors of 92046 are 2, 3, 23, 29. Prime factorization of 92046 in exponential form is:

92046 = 21 × 31 × 232 × 291

Prime Factorization of 92062

Prime factors of 92062 are 2, 191, 241. Prime factorization of 92062 in exponential form is:

92062 = 21 × 1911 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 92046 and 92062.

LCM(92046,92062) = 21 × 31 × 232 × 291 × 1911 × 2411
LCM(92046,92062) = 4236969426