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What is the Least Common Multiple of 96763 and 96770?

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 96763 and 96770 is 9363755510.

LCM(96763,96770) = 9363755510

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Least Common Multiple of 96763 and 96770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96763 and 96770, than apply into the LCM equation.

GCF(96763,96770) = 1
LCM(96763,96770) = ( 96763 × 96770) / 1
LCM(96763,96770) = 9363755510 / 1
LCM(96763,96770) = 9363755510

Least Common Multiple (LCM) of 96763 and 96770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96763 and 96770. First we will calculate the prime factors of 96763 and 96770.

Prime Factorization of 96763

Prime factors of 96763 are 96763. Prime factorization of 96763 in exponential form is:

96763 = 967631

Prime Factorization of 96770

Prime factors of 96770 are 2, 5, 9677. Prime factorization of 96770 in exponential form is:

96770 = 21 × 51 × 96771

Now multiplying the highest exponent prime factors to calculate the LCM of 96763 and 96770.

LCM(96763,96770) = 967631 × 21 × 51 × 96771
LCM(96763,96770) = 9363755510