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What is the Least Common Multiple of 62470 and 62477?

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 62470 and 62477 is 3902938190.

LCM(62470,62477) = 3902938190

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Least Common Multiple of 62470 and 62477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62470 and 62477, than apply into the LCM equation.

GCF(62470,62477) = 1
LCM(62470,62477) = ( 62470 × 62477) / 1
LCM(62470,62477) = 3902938190 / 1
LCM(62470,62477) = 3902938190

Least Common Multiple (LCM) of 62470 and 62477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62470 and 62477. First we will calculate the prime factors of 62470 and 62477.

Prime Factorization of 62470

Prime factors of 62470 are 2, 5, 6247. Prime factorization of 62470 in exponential form is:

62470 = 21 × 51 × 62471

Prime Factorization of 62477

Prime factors of 62477 are 62477. Prime factorization of 62477 in exponential form is:

62477 = 624771

Now multiplying the highest exponent prime factors to calculate the LCM of 62470 and 62477.

LCM(62470,62477) = 21 × 51 × 62471 × 624771
LCM(62470,62477) = 3902938190