What is the Least Common Multiple of 55159 and 55166?
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 55159 and 55166 is 3042901394.
LCM(55159,55166) = 3042901394
Least Common Multiple of 55159 and 55166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55159 and 55166, than apply into the LCM equation.
GCF(55159,55166) = 1
LCM(55159,55166) = ( 55159 × 55166) / 1
LCM(55159,55166) = 3042901394 / 1
LCM(55159,55166) = 3042901394
Least Common Multiple (LCM) of 55159 and 55166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 55159 and 55166. First we will calculate the prime factors of 55159 and 55166.
Prime Factorization of 55159
Prime factors of 55159 are 13, 4243. Prime factorization of 55159 in exponential form is:
55159 = 131 × 42431
Prime Factorization of 55166
Prime factors of 55166 are 2, 27583. Prime factorization of 55166 in exponential form is:
55166 = 21 × 275831
Now multiplying the highest exponent prime factors to calculate the LCM of 55159 and 55166.
LCM(55159,55166) = 131 × 42431 × 21 × 275831
LCM(55159,55166) = 3042901394
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