What is the Least Common Multiple of 62487 and 62494?
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 62487 and 62494 is 3905062578.
LCM(62487,62494) = 3905062578
Least Common Multiple of 62487 and 62494 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62487 and 62494, than apply into the LCM equation.
GCF(62487,62494) = 1
LCM(62487,62494) = ( 62487 × 62494) / 1
LCM(62487,62494) = 3905062578 / 1
LCM(62487,62494) = 3905062578
Least Common Multiple (LCM) of 62487 and 62494 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62487 and 62494. First we will calculate the prime factors of 62487 and 62494.
Prime Factorization of 62487
Prime factors of 62487 are 3, 53, 131. Prime factorization of 62487 in exponential form is:
62487 = 32 × 531 × 1311
Prime Factorization of 62494
Prime factors of 62494 are 2, 31247. Prime factorization of 62494 in exponential form is:
62494 = 21 × 312471
Now multiplying the highest exponent prime factors to calculate the LCM of 62487 and 62494.
LCM(62487,62494) = 32 × 531 × 1311 × 21 × 312471
LCM(62487,62494) = 3905062578
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