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What is the Least Common Multiple of 2473 and 2490?

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 2473 and 2490 is 6157770.

LCM(2473,2490) = 6157770

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Least Common Multiple of 2473 and 2490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2473 and 2490, than apply into the LCM equation.

GCF(2473,2490) = 1
LCM(2473,2490) = ( 2473 × 2490) / 1
LCM(2473,2490) = 6157770 / 1
LCM(2473,2490) = 6157770

Least Common Multiple (LCM) of 2473 and 2490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2473 and 2490. First we will calculate the prime factors of 2473 and 2490.

Prime Factorization of 2473

Prime factors of 2473 are 2473. Prime factorization of 2473 in exponential form is:

2473 = 24731

Prime Factorization of 2490

Prime factors of 2490 are 2, 3, 5, 83. Prime factorization of 2490 in exponential form is:

2490 = 21 × 31 × 51 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 2473 and 2490.

LCM(2473,2490) = 24731 × 21 × 31 × 51 × 831
LCM(2473,2490) = 6157770