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What is the Least Common Multiple of 61265 and 61283?

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 61265 and 61283 is 3754502995.

LCM(61265,61283) = 3754502995

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Least Common Multiple of 61265 and 61283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61265 and 61283, than apply into the LCM equation.

GCF(61265,61283) = 1
LCM(61265,61283) = ( 61265 × 61283) / 1
LCM(61265,61283) = 3754502995 / 1
LCM(61265,61283) = 3754502995

Least Common Multiple (LCM) of 61265 and 61283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61265 and 61283. First we will calculate the prime factors of 61265 and 61283.

Prime Factorization of 61265

Prime factors of 61265 are 5, 12253. Prime factorization of 61265 in exponential form is:

61265 = 51 × 122531

Prime Factorization of 61283

Prime factors of 61283 are 61283. Prime factorization of 61283 in exponential form is:

61283 = 612831

Now multiplying the highest exponent prime factors to calculate the LCM of 61265 and 61283.

LCM(61265,61283) = 51 × 122531 × 612831
LCM(61265,61283) = 3754502995