What is the Least Common Multiple of 55016 and 55022?
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 55016 and 55022 is 1513545176.
LCM(55016,55022) = 1513545176
Least Common Multiple of 55016 and 55022 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55016 and 55022, than apply into the LCM equation.
GCF(55016,55022) = 2
LCM(55016,55022) = ( 55016 × 55022) / 2
LCM(55016,55022) = 3027090352 / 2
LCM(55016,55022) = 1513545176
Least Common Multiple (LCM) of 55016 and 55022 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55016 and 55022. First we will calculate the prime factors of 55016 and 55022.
Prime Factorization of 55016
Prime factors of 55016 are 2, 13, 23. Prime factorization of 55016 in exponential form is:
55016 = 23 × 131 × 232
Prime Factorization of 55022
Prime factors of 55022 are 2, 11, 41, 61. Prime factorization of 55022 in exponential form is:
55022 = 21 × 111 × 411 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 55016 and 55022.
LCM(55016,55022) = 23 × 131 × 232 × 111 × 411 × 611
LCM(55016,55022) = 1513545176
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