What is the Least Common Multiple of 55598 and 55603?
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 55598 and 55603 is 3091415594.
LCM(55598,55603) = 3091415594
Least Common Multiple of 55598 and 55603 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55598 and 55603, than apply into the LCM equation.
GCF(55598,55603) = 1
LCM(55598,55603) = ( 55598 × 55603) / 1
LCM(55598,55603) = 3091415594 / 1
LCM(55598,55603) = 3091415594
Least Common Multiple (LCM) of 55598 and 55603 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55598 and 55603. First we will calculate the prime factors of 55598 and 55603.
Prime Factorization of 55598
Prime factors of 55598 are 2, 27799. Prime factorization of 55598 in exponential form is:
55598 = 21 × 277991
Prime Factorization of 55603
Prime factors of 55603 are 55603. Prime factorization of 55603 in exponential form is:
55603 = 556031
Now multiplying the highest exponent prime factors to calculate the LCM of 55598 and 55603.
LCM(55598,55603) = 21 × 277991 × 556031
LCM(55598,55603) = 3091415594
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