What is the Least Common Multiple of 55487 and 55502?
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 55487 and 55502 is 3079639474.
LCM(55487,55502) = 3079639474
Least Common Multiple of 55487 and 55502 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55487 and 55502, than apply into the LCM equation.
GCF(55487,55502) = 1
LCM(55487,55502) = ( 55487 × 55502) / 1
LCM(55487,55502) = 3079639474 / 1
LCM(55487,55502) = 3079639474
Least Common Multiple (LCM) of 55487 and 55502 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55487 and 55502. First we will calculate the prime factors of 55487 and 55502.
Prime Factorization of 55487
Prime factors of 55487 are 55487. Prime factorization of 55487 in exponential form is:
55487 = 554871
Prime Factorization of 55502
Prime factors of 55502 are 2, 27751. Prime factorization of 55502 in exponential form is:
55502 = 21 × 277511
Now multiplying the highest exponent prime factors to calculate the LCM of 55487 and 55502.
LCM(55487,55502) = 554871 × 21 × 277511
LCM(55487,55502) = 3079639474
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