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What is the Least Common Multiple of 65033 and 65053?

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 65033 and 65053 is 4230591749.

LCM(65033,65053) = 4230591749

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Least Common Multiple of 65033 and 65053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65033 and 65053, than apply into the LCM equation.

GCF(65033,65053) = 1
LCM(65033,65053) = ( 65033 × 65053) / 1
LCM(65033,65053) = 4230591749 / 1
LCM(65033,65053) = 4230591749

Least Common Multiple (LCM) of 65033 and 65053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65033 and 65053. First we will calculate the prime factors of 65033 and 65053.

Prime Factorization of 65033

Prime factors of 65033 are 65033. Prime factorization of 65033 in exponential form is:

65033 = 650331

Prime Factorization of 65053

Prime factors of 65053 are 65053. Prime factorization of 65053 in exponential form is:

65053 = 650531

Now multiplying the highest exponent prime factors to calculate the LCM of 65033 and 65053.

LCM(65033,65053) = 650331 × 650531
LCM(65033,65053) = 4230591749