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What is the Least Common Multiple of 92760 and 92780?

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 92760 and 92780 is 430313640.

LCM(92760,92780) = 430313640

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Least Common Multiple of 92760 and 92780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92760 and 92780, than apply into the LCM equation.

GCF(92760,92780) = 20
LCM(92760,92780) = ( 92760 × 92780) / 20
LCM(92760,92780) = 8606272800 / 20
LCM(92760,92780) = 430313640

Least Common Multiple (LCM) of 92760 and 92780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92760 and 92780. First we will calculate the prime factors of 92760 and 92780.

Prime Factorization of 92760

Prime factors of 92760 are 2, 3, 5, 773. Prime factorization of 92760 in exponential form is:

92760 = 23 × 31 × 51 × 7731

Prime Factorization of 92780

Prime factors of 92780 are 2, 5, 4639. Prime factorization of 92780 in exponential form is:

92780 = 22 × 51 × 46391

Now multiplying the highest exponent prime factors to calculate the LCM of 92760 and 92780.

LCM(92760,92780) = 23 × 31 × 51 × 7731 × 46391
LCM(92760,92780) = 430313640