What is the Least Common Multiple of 55522 and 55537?
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 55522 and 55537 is 3083525314.
LCM(55522,55537) = 3083525314
Least Common Multiple of 55522 and 55537 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55522 and 55537, than apply into the LCM equation.
GCF(55522,55537) = 1
LCM(55522,55537) = ( 55522 × 55537) / 1
LCM(55522,55537) = 3083525314 / 1
LCM(55522,55537) = 3083525314
Least Common Multiple (LCM) of 55522 and 55537 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55522 and 55537. First we will calculate the prime factors of 55522 and 55537.
Prime Factorization of 55522
Prime factors of 55522 are 2, 17, 23, 71. Prime factorization of 55522 in exponential form is:
55522 = 21 × 171 × 231 × 711
Prime Factorization of 55537
Prime factors of 55537 are 19, 37, 79. Prime factorization of 55537 in exponential form is:
55537 = 191 × 371 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 55522 and 55537.
LCM(55522,55537) = 21 × 171 × 231 × 711 × 191 × 371 × 791
LCM(55522,55537) = 3083525314
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