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What is the Least Common Multiple of 65467 and 65480?

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 65467 and 65480 is 4286779160.

LCM(65467,65480) = 4286779160

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Least Common Multiple of 65467 and 65480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65467 and 65480, than apply into the LCM equation.

GCF(65467,65480) = 1
LCM(65467,65480) = ( 65467 × 65480) / 1
LCM(65467,65480) = 4286779160 / 1
LCM(65467,65480) = 4286779160

Least Common Multiple (LCM) of 65467 and 65480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65467 and 65480. First we will calculate the prime factors of 65467 and 65480.

Prime Factorization of 65467

Prime factors of 65467 are 17, 3851. Prime factorization of 65467 in exponential form is:

65467 = 171 × 38511

Prime Factorization of 65480

Prime factors of 65480 are 2, 5, 1637. Prime factorization of 65480 in exponential form is:

65480 = 23 × 51 × 16371

Now multiplying the highest exponent prime factors to calculate the LCM of 65467 and 65480.

LCM(65467,65480) = 171 × 38511 × 23 × 51 × 16371
LCM(65467,65480) = 4286779160