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What is the Least Common Multiple of 65464 and 65471?

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 65464 and 65471 is 612284792.

LCM(65464,65471) = 612284792

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Least Common Multiple of 65464 and 65471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65464 and 65471, than apply into the LCM equation.

GCF(65464,65471) = 7
LCM(65464,65471) = ( 65464 × 65471) / 7
LCM(65464,65471) = 4285993544 / 7
LCM(65464,65471) = 612284792

Least Common Multiple (LCM) of 65464 and 65471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65464 and 65471. First we will calculate the prime factors of 65464 and 65471.

Prime Factorization of 65464

Prime factors of 65464 are 2, 7, 167. Prime factorization of 65464 in exponential form is:

65464 = 23 × 72 × 1671

Prime Factorization of 65471

Prime factors of 65471 are 7, 47, 199. Prime factorization of 65471 in exponential form is:

65471 = 71 × 471 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 65464 and 65471.

LCM(65464,65471) = 23 × 72 × 1671 × 471 × 1991
LCM(65464,65471) = 612284792