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What is the Least Common Multiple of 92758 and 92766?

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 92758 and 92766 is 4302394314.

LCM(92758,92766) = 4302394314

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Least Common Multiple of 92758 and 92766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92758 and 92766, than apply into the LCM equation.

GCF(92758,92766) = 2
LCM(92758,92766) = ( 92758 × 92766) / 2
LCM(92758,92766) = 8604788628 / 2
LCM(92758,92766) = 4302394314

Least Common Multiple (LCM) of 92758 and 92766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92758 and 92766. First we will calculate the prime factors of 92758 and 92766.

Prime Factorization of 92758

Prime factors of 92758 are 2, 19, 2441. Prime factorization of 92758 in exponential form is:

92758 = 21 × 191 × 24411

Prime Factorization of 92766

Prime factors of 92766 are 2, 3, 15461. Prime factorization of 92766 in exponential form is:

92766 = 21 × 31 × 154611

Now multiplying the highest exponent prime factors to calculate the LCM of 92758 and 92766.

LCM(92758,92766) = 21 × 191 × 24411 × 31 × 154611
LCM(92758,92766) = 4302394314