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What is the Least Common Multiple of 92562 and 92568?

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 92562 and 92568 is 1428046536.

LCM(92562,92568) = 1428046536

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Least Common Multiple of 92562 and 92568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92562 and 92568, than apply into the LCM equation.

GCF(92562,92568) = 6
LCM(92562,92568) = ( 92562 × 92568) / 6
LCM(92562,92568) = 8568279216 / 6
LCM(92562,92568) = 1428046536

Least Common Multiple (LCM) of 92562 and 92568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92562 and 92568. First we will calculate the prime factors of 92562 and 92568.

Prime Factorization of 92562

Prime factors of 92562 are 2, 3, 15427. Prime factorization of 92562 in exponential form is:

92562 = 21 × 31 × 154271

Prime Factorization of 92568

Prime factors of 92568 are 2, 3, 7, 19, 29. Prime factorization of 92568 in exponential form is:

92568 = 23 × 31 × 71 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 92562 and 92568.

LCM(92562,92568) = 23 × 31 × 154271 × 71 × 191 × 291
LCM(92562,92568) = 1428046536