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What is the Least Common Multiple of 65251 and 65268?

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 65251 and 65268 is 4258802268.

LCM(65251,65268) = 4258802268

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Least Common Multiple of 65251 and 65268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65251 and 65268, than apply into the LCM equation.

GCF(65251,65268) = 1
LCM(65251,65268) = ( 65251 × 65268) / 1
LCM(65251,65268) = 4258802268 / 1
LCM(65251,65268) = 4258802268

Least Common Multiple (LCM) of 65251 and 65268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65251 and 65268. First we will calculate the prime factors of 65251 and 65268.

Prime Factorization of 65251

Prime factors of 65251 are 23, 2837. Prime factorization of 65251 in exponential form is:

65251 = 231 × 28371

Prime Factorization of 65268

Prime factors of 65268 are 2, 3, 7, 37. Prime factorization of 65268 in exponential form is:

65268 = 22 × 32 × 72 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 65251 and 65268.

LCM(65251,65268) = 231 × 28371 × 22 × 32 × 72 × 371
LCM(65251,65268) = 4258802268