What is the Least Common Multiple of 55222 and 55235?
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 55222 and 55235 is 3050187170.
LCM(55222,55235) = 3050187170
Least Common Multiple of 55222 and 55235 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55222 and 55235, than apply into the LCM equation.
GCF(55222,55235) = 1
LCM(55222,55235) = ( 55222 × 55235) / 1
LCM(55222,55235) = 3050187170 / 1
LCM(55222,55235) = 3050187170
Least Common Multiple (LCM) of 55222 and 55235 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55222 and 55235. First we will calculate the prime factors of 55222 and 55235.
Prime Factorization of 55222
Prime factors of 55222 are 2, 27611. Prime factorization of 55222 in exponential form is:
55222 = 21 × 276111
Prime Factorization of 55235
Prime factors of 55235 are 5, 11047. Prime factorization of 55235 in exponential form is:
55235 = 51 × 110471
Now multiplying the highest exponent prime factors to calculate the LCM of 55222 and 55235.
LCM(55222,55235) = 21 × 276111 × 51 × 110471
LCM(55222,55235) = 3050187170
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