What is the Least Common Multiple of 59155 and 59166?
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 59155 and 59166 is 3499964730.
LCM(59155,59166) = 3499964730
Least Common Multiple of 59155 and 59166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59155 and 59166, than apply into the LCM equation.
GCF(59155,59166) = 1
LCM(59155,59166) = ( 59155 × 59166) / 1
LCM(59155,59166) = 3499964730 / 1
LCM(59155,59166) = 3499964730
Least Common Multiple (LCM) of 59155 and 59166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59155 and 59166. First we will calculate the prime factors of 59155 and 59166.
Prime Factorization of 59155
Prime factors of 59155 are 5, 11831. Prime factorization of 59155 in exponential form is:
59155 = 51 × 118311
Prime Factorization of 59166
Prime factors of 59166 are 2, 3, 19, 173. Prime factorization of 59166 in exponential form is:
59166 = 21 × 32 × 191 × 1731
Now multiplying the highest exponent prime factors to calculate the LCM of 59155 and 59166.
LCM(59155,59166) = 51 × 118311 × 21 × 32 × 191 × 1731
LCM(59155,59166) = 3499964730
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