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What is the Least Common Multiple of 92252 and 92266?

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 92252 and 92266 is 4255861516.

LCM(92252,92266) = 4255861516

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Least Common Multiple of 92252 and 92266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92252 and 92266, than apply into the LCM equation.

GCF(92252,92266) = 2
LCM(92252,92266) = ( 92252 × 92266) / 2
LCM(92252,92266) = 8511723032 / 2
LCM(92252,92266) = 4255861516

Least Common Multiple (LCM) of 92252 and 92266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92252 and 92266. First we will calculate the prime factors of 92252 and 92266.

Prime Factorization of 92252

Prime factors of 92252 are 2, 23063. Prime factorization of 92252 in exponential form is:

92252 = 22 × 230631

Prime Factorization of 92266

Prime factors of 92266 are 2, 46133. Prime factorization of 92266 in exponential form is:

92266 = 21 × 461331

Now multiplying the highest exponent prime factors to calculate the LCM of 92252 and 92266.

LCM(92252,92266) = 22 × 230631 × 461331
LCM(92252,92266) = 4255861516