What is the Least Common Multiple of 58046 and 58053?
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 58046 and 58053 is 3369744438.
LCM(58046,58053) = 3369744438
Least Common Multiple of 58046 and 58053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58046 and 58053, than apply into the LCM equation.
GCF(58046,58053) = 1
LCM(58046,58053) = ( 58046 × 58053) / 1
LCM(58046,58053) = 3369744438 / 1
LCM(58046,58053) = 3369744438
Least Common Multiple (LCM) of 58046 and 58053 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58046 and 58053. First we will calculate the prime factors of 58046 and 58053.
Prime Factorization of 58046
Prime factors of 58046 are 2, 29023. Prime factorization of 58046 in exponential form is:
58046 = 21 × 290231
Prime Factorization of 58053
Prime factors of 58053 are 3, 37, 523. Prime factorization of 58053 in exponential form is:
58053 = 31 × 371 × 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 58046 and 58053.
LCM(58046,58053) = 21 × 290231 × 31 × 371 × 5231
LCM(58046,58053) = 3369744438
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