What is the Least Common Multiple of 2487 and 2507?
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 2487 and 2507 is 6234909.
LCM(2487,2507) = 6234909
Least Common Multiple of 2487 and 2507 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2487 and 2507, than apply into the LCM equation.
GCF(2487,2507) = 1
LCM(2487,2507) = ( 2487 × 2507) / 1
LCM(2487,2507) = 6234909 / 1
LCM(2487,2507) = 6234909
Least Common Multiple (LCM) of 2487 and 2507 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 2487 and 2507. First we will calculate the prime factors of 2487 and 2507.
Prime Factorization of 2487
Prime factors of 2487 are 3, 829. Prime factorization of 2487 in exponential form is:
2487 = 31 × 8291
Prime Factorization of 2507
Prime factors of 2507 are 23, 109. Prime factorization of 2507 in exponential form is:
2507 = 231 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 2487 and 2507.
LCM(2487,2507) = 31 × 8291 × 231 × 1091
LCM(2487,2507) = 6234909
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