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What is the Least Common Multiple of 65766 and 65781?

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 65766 and 65781 is 1442051082.

LCM(65766,65781) = 1442051082

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Least Common Multiple of 65766 and 65781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65766 and 65781, than apply into the LCM equation.

GCF(65766,65781) = 3
LCM(65766,65781) = ( 65766 × 65781) / 3
LCM(65766,65781) = 4326153246 / 3
LCM(65766,65781) = 1442051082

Least Common Multiple (LCM) of 65766 and 65781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65766 and 65781. First we will calculate the prime factors of 65766 and 65781.

Prime Factorization of 65766

Prime factors of 65766 are 2, 3, 97, 113. Prime factorization of 65766 in exponential form is:

65766 = 21 × 31 × 971 × 1131

Prime Factorization of 65781

Prime factors of 65781 are 3, 7309. Prime factorization of 65781 in exponential form is:

65781 = 32 × 73091

Now multiplying the highest exponent prime factors to calculate the LCM of 65766 and 65781.

LCM(65766,65781) = 21 × 32 × 971 × 1131 × 73091
LCM(65766,65781) = 1442051082