What is the Least Common Multiple of 59185 and 59205?
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 59185 and 59205 is 700809585.
LCM(59185,59205) = 700809585
Least Common Multiple of 59185 and 59205 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59185 and 59205, than apply into the LCM equation.
GCF(59185,59205) = 5
LCM(59185,59205) = ( 59185 × 59205) / 5
LCM(59185,59205) = 3504047925 / 5
LCM(59185,59205) = 700809585
Least Common Multiple (LCM) of 59185 and 59205 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59185 and 59205. First we will calculate the prime factors of 59185 and 59205.
Prime Factorization of 59185
Prime factors of 59185 are 5, 7, 19, 89. Prime factorization of 59185 in exponential form is:
59185 = 51 × 71 × 191 × 891
Prime Factorization of 59205
Prime factors of 59205 are 3, 5, 3947. Prime factorization of 59205 in exponential form is:
59205 = 31 × 51 × 39471
Now multiplying the highest exponent prime factors to calculate the LCM of 59185 and 59205.
LCM(59185,59205) = 51 × 71 × 191 × 891 × 31 × 39471
LCM(59185,59205) = 700809585
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