What is the Least Common Multiple of 55483 and 55487?
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 55483 and 55487 is 3078585221.
LCM(55483,55487) = 3078585221
Least Common Multiple of 55483 and 55487 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55483 and 55487, than apply into the LCM equation.
GCF(55483,55487) = 1
LCM(55483,55487) = ( 55483 × 55487) / 1
LCM(55483,55487) = 3078585221 / 1
LCM(55483,55487) = 3078585221
Least Common Multiple (LCM) of 55483 and 55487 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55483 and 55487. First we will calculate the prime factors of 55483 and 55487.
Prime Factorization of 55483
Prime factors of 55483 are 113, 491. Prime factorization of 55483 in exponential form is:
55483 = 1131 × 4911
Prime Factorization of 55487
Prime factors of 55487 are 55487. Prime factorization of 55487 in exponential form is:
55487 = 554871
Now multiplying the highest exponent prime factors to calculate the LCM of 55483 and 55487.
LCM(55483,55487) = 1131 × 4911 × 554871
LCM(55483,55487) = 3078585221
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