What is the Least Common Multiple of 58954 and 58958?
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 58954 and 58958 is 1737904966.
LCM(58954,58958) = 1737904966
Least Common Multiple of 58954 and 58958 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58954 and 58958, than apply into the LCM equation.
GCF(58954,58958) = 2
LCM(58954,58958) = ( 58954 × 58958) / 2
LCM(58954,58958) = 3475809932 / 2
LCM(58954,58958) = 1737904966
Least Common Multiple (LCM) of 58954 and 58958 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58954 and 58958. First we will calculate the prime factors of 58954 and 58958.
Prime Factorization of 58954
Prime factors of 58954 are 2, 7, 4211. Prime factorization of 58954 in exponential form is:
58954 = 21 × 71 × 42111
Prime Factorization of 58958
Prime factors of 58958 are 2, 41, 719. Prime factorization of 58958 in exponential form is:
58958 = 21 × 411 × 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 58954 and 58958.
LCM(58954,58958) = 21 × 71 × 42111 × 411 × 7191
LCM(58954,58958) = 1737904966
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