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What is the Least Common Multiple of 2470 and 2477?

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 2470 and 2477 is 6118190.

LCM(2470,2477) = 6118190

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Least Common Multiple of 2470 and 2477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2470 and 2477, than apply into the LCM equation.

GCF(2470,2477) = 1
LCM(2470,2477) = ( 2470 × 2477) / 1
LCM(2470,2477) = 6118190 / 1
LCM(2470,2477) = 6118190

Least Common Multiple (LCM) of 2470 and 2477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2470 and 2477. First we will calculate the prime factors of 2470 and 2477.

Prime Factorization of 2470

Prime factors of 2470 are 2, 5, 13, 19. Prime factorization of 2470 in exponential form is:

2470 = 21 × 51 × 131 × 191

Prime Factorization of 2477

Prime factors of 2477 are 2477. Prime factorization of 2477 in exponential form is:

2477 = 24771

Now multiplying the highest exponent prime factors to calculate the LCM of 2470 and 2477.

LCM(2470,2477) = 21 × 51 × 131 × 191 × 24771
LCM(2470,2477) = 6118190