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What is the Least Common Multiple of 62647 and 62654?

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 62647 and 62654 is 3925085138.

LCM(62647,62654) = 3925085138

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Least Common Multiple of 62647 and 62654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62647 and 62654, than apply into the LCM equation.

GCF(62647,62654) = 1
LCM(62647,62654) = ( 62647 × 62654) / 1
LCM(62647,62654) = 3925085138 / 1
LCM(62647,62654) = 3925085138

Least Common Multiple (LCM) of 62647 and 62654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62647 and 62654. First we will calculate the prime factors of 62647 and 62654.

Prime Factorization of 62647

Prime factors of 62647 are 13, 61, 79. Prime factorization of 62647 in exponential form is:

62647 = 131 × 611 × 791

Prime Factorization of 62654

Prime factors of 62654 are 2, 31327. Prime factorization of 62654 in exponential form is:

62654 = 21 × 313271

Now multiplying the highest exponent prime factors to calculate the LCM of 62647 and 62654.

LCM(62647,62654) = 131 × 611 × 791 × 21 × 313271
LCM(62647,62654) = 3925085138