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What is the Least Common Multiple of 65967 and 65982?

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 65967 and 65982 is 1450878198.

LCM(65967,65982) = 1450878198

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Least Common Multiple of 65967 and 65982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65967 and 65982, than apply into the LCM equation.

GCF(65967,65982) = 3
LCM(65967,65982) = ( 65967 × 65982) / 3
LCM(65967,65982) = 4352634594 / 3
LCM(65967,65982) = 1450878198

Least Common Multiple (LCM) of 65967 and 65982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65967 and 65982. First we will calculate the prime factors of 65967 and 65982.

Prime Factorization of 65967

Prime factors of 65967 are 3, 11, 1999. Prime factorization of 65967 in exponential form is:

65967 = 31 × 111 × 19991

Prime Factorization of 65982

Prime factors of 65982 are 2, 3, 7, 1571. Prime factorization of 65982 in exponential form is:

65982 = 21 × 31 × 71 × 15711

Now multiplying the highest exponent prime factors to calculate the LCM of 65967 and 65982.

LCM(65967,65982) = 31 × 111 × 19991 × 21 × 71 × 15711
LCM(65967,65982) = 1450878198