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What is the Least Common Multiple of 65452 and 65467?

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 65452 and 65467 is 4284946084.

LCM(65452,65467) = 4284946084

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Least Common Multiple of 65452 and 65467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65452 and 65467, than apply into the LCM equation.

GCF(65452,65467) = 1
LCM(65452,65467) = ( 65452 × 65467) / 1
LCM(65452,65467) = 4284946084 / 1
LCM(65452,65467) = 4284946084

Least Common Multiple (LCM) of 65452 and 65467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65452 and 65467. First we will calculate the prime factors of 65452 and 65467.

Prime Factorization of 65452

Prime factors of 65452 are 2, 16363. Prime factorization of 65452 in exponential form is:

65452 = 22 × 163631

Prime Factorization of 65467

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

65467 = 171 × 38511

Now multiplying the highest exponent prime factors to calculate the LCM of 65452 and 65467.

LCM(65452,65467) = 22 × 163631 × 171 × 38511
LCM(65452,65467) = 4284946084