What is the Least Common Multiple of 2494 and 2506?
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 2494 and 2506 is 3124982.
LCM(2494,2506) = 3124982
Least Common Multiple of 2494 and 2506 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2494 and 2506, than apply into the LCM equation.
GCF(2494,2506) = 2
LCM(2494,2506) = ( 2494 × 2506) / 2
LCM(2494,2506) = 6249964 / 2
LCM(2494,2506) = 3124982
Least Common Multiple (LCM) of 2494 and 2506 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2494 and 2506. First we will calculate the prime factors of 2494 and 2506.
Prime Factorization of 2494
Prime factors of 2494 are 2, 29, 43. Prime factorization of 2494 in exponential form is:
2494 = 21 × 291 × 431
Prime Factorization of 2506
Prime factors of 2506 are 2, 7, 179. Prime factorization of 2506 in exponential form is:
2506 = 21 × 71 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 2494 and 2506.
LCM(2494,2506) = 21 × 291 × 431 × 71 × 1791
LCM(2494,2506) = 3124982
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