What is the Least Common Multiple of 55595 and 55602?
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 55595 and 55602 is 3091193190.
LCM(55595,55602) = 3091193190
Least Common Multiple of 55595 and 55602 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55595 and 55602, than apply into the LCM equation.
GCF(55595,55602) = 1
LCM(55595,55602) = ( 55595 × 55602) / 1
LCM(55595,55602) = 3091193190 / 1
LCM(55595,55602) = 3091193190
Least Common Multiple (LCM) of 55595 and 55602 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55595 and 55602. First we will calculate the prime factors of 55595 and 55602.
Prime Factorization of 55595
Prime factors of 55595 are 5, 11119. Prime factorization of 55595 in exponential form is:
55595 = 51 × 111191
Prime Factorization of 55602
Prime factors of 55602 are 2, 3, 3089. Prime factorization of 55602 in exponential form is:
55602 = 21 × 32 × 30891
Now multiplying the highest exponent prime factors to calculate the LCM of 55595 and 55602.
LCM(55595,55602) = 51 × 111191 × 21 × 32 × 30891
LCM(55595,55602) = 3091193190
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