What is the Least Common Multiple of 55789 and 55801?
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 55789 and 55801 is 3113081989.
LCM(55789,55801) = 3113081989
Least Common Multiple of 55789 and 55801 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55789 and 55801, than apply into the LCM equation.
GCF(55789,55801) = 1
LCM(55789,55801) = ( 55789 × 55801) / 1
LCM(55789,55801) = 3113081989 / 1
LCM(55789,55801) = 3113081989
Least Common Multiple (LCM) of 55789 and 55801 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55789 and 55801. First we will calculate the prime factors of 55789 and 55801.
Prime Factorization of 55789
Prime factors of 55789 are 47, 1187. Prime factorization of 55789 in exponential form is:
55789 = 471 × 11871
Prime Factorization of 55801
Prime factors of 55801 are 41, 1361. Prime factorization of 55801 in exponential form is:
55801 = 411 × 13611
Now multiplying the highest exponent prime factors to calculate the LCM of 55789 and 55801.
LCM(55789,55801) = 471 × 11871 × 411 × 13611
LCM(55789,55801) = 3113081989
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