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What is the Least Common Multiple of 92980 and 92991?

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 92980 and 92991 is 8646303180.

LCM(92980,92991) = 8646303180

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Least Common Multiple of 92980 and 92991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92980 and 92991, than apply into the LCM equation.

GCF(92980,92991) = 1
LCM(92980,92991) = ( 92980 × 92991) / 1
LCM(92980,92991) = 8646303180 / 1
LCM(92980,92991) = 8646303180

Least Common Multiple (LCM) of 92980 and 92991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92980 and 92991. First we will calculate the prime factors of 92980 and 92991.

Prime Factorization of 92980

Prime factors of 92980 are 2, 5, 4649. Prime factorization of 92980 in exponential form is:

92980 = 22 × 51 × 46491

Prime Factorization of 92991

Prime factors of 92991 are 3, 139, 223. Prime factorization of 92991 in exponential form is:

92991 = 31 × 1391 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 92980 and 92991.

LCM(92980,92991) = 22 × 51 × 46491 × 31 × 1391 × 2231
LCM(92980,92991) = 8646303180