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What is the Least Common Multiple of 62797 and 62815?

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 62797 and 62815 is 3944593555.

LCM(62797,62815) = 3944593555

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Least Common Multiple of 62797 and 62815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62797 and 62815, than apply into the LCM equation.

GCF(62797,62815) = 1
LCM(62797,62815) = ( 62797 × 62815) / 1
LCM(62797,62815) = 3944593555 / 1
LCM(62797,62815) = 3944593555

Least Common Multiple (LCM) of 62797 and 62815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62797 and 62815. First we will calculate the prime factors of 62797 and 62815.

Prime Factorization of 62797

Prime factors of 62797 are 7, 8971. Prime factorization of 62797 in exponential form is:

62797 = 71 × 89711

Prime Factorization of 62815

Prime factors of 62815 are 5, 17, 739. Prime factorization of 62815 in exponential form is:

62815 = 51 × 171 × 7391

Now multiplying the highest exponent prime factors to calculate the LCM of 62797 and 62815.

LCM(62797,62815) = 71 × 89711 × 51 × 171 × 7391
LCM(62797,62815) = 3944593555