What is the Least Common Multiple of 55467 and 55486?
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 55467 and 55486 is 3077641962.
LCM(55467,55486) = 3077641962
Least Common Multiple of 55467 and 55486 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55467 and 55486, than apply into the LCM equation.
GCF(55467,55486) = 1
LCM(55467,55486) = ( 55467 × 55486) / 1
LCM(55467,55486) = 3077641962 / 1
LCM(55467,55486) = 3077641962
Least Common Multiple (LCM) of 55467 and 55486 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55467 and 55486. First we will calculate the prime factors of 55467 and 55486.
Prime Factorization of 55467
Prime factors of 55467 are 3, 6163. Prime factorization of 55467 in exponential form is:
55467 = 32 × 61631
Prime Factorization of 55486
Prime factors of 55486 are 2, 27743. Prime factorization of 55486 in exponential form is:
55486 = 21 × 277431
Now multiplying the highest exponent prime factors to calculate the LCM of 55467 and 55486.
LCM(55467,55486) = 32 × 61631 × 21 × 277431
LCM(55467,55486) = 3077641962
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