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What is the Least Common Multiple of 62265 and 62285?

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 62265 and 62285 is 775635105.

LCM(62265,62285) = 775635105

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Least Common Multiple of 62265 and 62285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62265 and 62285, than apply into the LCM equation.

GCF(62265,62285) = 5
LCM(62265,62285) = ( 62265 × 62285) / 5
LCM(62265,62285) = 3878175525 / 5
LCM(62265,62285) = 775635105

Least Common Multiple (LCM) of 62265 and 62285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62265 and 62285. First we will calculate the prime factors of 62265 and 62285.

Prime Factorization of 62265

Prime factors of 62265 are 3, 5, 7, 593. Prime factorization of 62265 in exponential form is:

62265 = 31 × 51 × 71 × 5931

Prime Factorization of 62285

Prime factors of 62285 are 5, 12457. Prime factorization of 62285 in exponential form is:

62285 = 51 × 124571

Now multiplying the highest exponent prime factors to calculate the LCM of 62265 and 62285.

LCM(62265,62285) = 31 × 51 × 71 × 5931 × 124571
LCM(62265,62285) = 775635105