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What is the Least Common Multiple of 92238 and 92252?

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 92238 and 92252 is 4254569988.

LCM(92238,92252) = 4254569988

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Least Common Multiple of 92238 and 92252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92238 and 92252, than apply into the LCM equation.

GCF(92238,92252) = 2
LCM(92238,92252) = ( 92238 × 92252) / 2
LCM(92238,92252) = 8509139976 / 2
LCM(92238,92252) = 4254569988

Least Common Multiple (LCM) of 92238 and 92252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92238 and 92252. First we will calculate the prime factors of 92238 and 92252.

Prime Factorization of 92238

Prime factors of 92238 are 2, 3, 15373. Prime factorization of 92238 in exponential form is:

92238 = 21 × 31 × 153731

Prime Factorization of 92252

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

92252 = 22 × 230631

Now multiplying the highest exponent prime factors to calculate the LCM of 92238 and 92252.

LCM(92238,92252) = 22 × 31 × 153731 × 230631
LCM(92238,92252) = 4254569988