What is the Least Common Multiple of 62474 and 62487?
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 62474 and 62487 is 3903812838.
LCM(62474,62487) = 3903812838
Least Common Multiple of 62474 and 62487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62474 and 62487, than apply into the LCM equation.
GCF(62474,62487) = 1
LCM(62474,62487) = ( 62474 × 62487) / 1
LCM(62474,62487) = 3903812838 / 1
LCM(62474,62487) = 3903812838
Least Common Multiple (LCM) of 62474 and 62487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62474 and 62487. First we will calculate the prime factors of 62474 and 62487.
Prime Factorization of 62474
Prime factors of 62474 are 2, 31237. Prime factorization of 62474 in exponential form is:
62474 = 21 × 312371
Prime Factorization of 62487
Prime factors of 62487 are 3, 53, 131. Prime factorization of 62487 in exponential form is:
62487 = 32 × 531 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 62474 and 62487.
LCM(62474,62487) = 21 × 312371 × 32 × 531 × 1311
LCM(62474,62487) = 3903812838
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