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What is the Least Common Multiple of 65978 and 65989?

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 65978 and 65989 is 395802022.

LCM(65978,65989) = 395802022

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Least Common Multiple of 65978 and 65989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65978 and 65989, than apply into the LCM equation.

GCF(65978,65989) = 11
LCM(65978,65989) = ( 65978 × 65989) / 11
LCM(65978,65989) = 4353822242 / 11
LCM(65978,65989) = 395802022

Least Common Multiple (LCM) of 65978 and 65989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65978 and 65989. First we will calculate the prime factors of 65978 and 65989.

Prime Factorization of 65978

Prime factors of 65978 are 2, 11, 2999. Prime factorization of 65978 in exponential form is:

65978 = 21 × 111 × 29991

Prime Factorization of 65989

Prime factors of 65989 are 7, 11, 857. Prime factorization of 65989 in exponential form is:

65989 = 71 × 111 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 65978 and 65989.

LCM(65978,65989) = 21 × 111 × 29991 × 71 × 8571
LCM(65978,65989) = 395802022