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What is the Least Common Multiple of 97766 and 97783?

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 97766 and 97783 is 9559852778.

LCM(97766,97783) = 9559852778

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Least Common Multiple of 97766 and 97783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97766 and 97783, than apply into the LCM equation.

GCF(97766,97783) = 1
LCM(97766,97783) = ( 97766 × 97783) / 1
LCM(97766,97783) = 9559852778 / 1
LCM(97766,97783) = 9559852778

Least Common Multiple (LCM) of 97766 and 97783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97766 and 97783. First we will calculate the prime factors of 97766 and 97783.

Prime Factorization of 97766

Prime factors of 97766 are 2, 48883. Prime factorization of 97766 in exponential form is:

97766 = 21 × 488831

Prime Factorization of 97783

Prime factors of 97783 are 7, 61, 229. Prime factorization of 97783 in exponential form is:

97783 = 71 × 611 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 97766 and 97783.

LCM(97766,97783) = 21 × 488831 × 71 × 611 × 2291
LCM(97766,97783) = 9559852778