What is the Least Common Multiple of 58344 and 58357?
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 58344 and 58357 is 261906216.
LCM(58344,58357) = 261906216
Least Common Multiple of 58344 and 58357 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58344 and 58357, than apply into the LCM equation.
GCF(58344,58357) = 13
LCM(58344,58357) = ( 58344 × 58357) / 13
LCM(58344,58357) = 3404780808 / 13
LCM(58344,58357) = 261906216
Least Common Multiple (LCM) of 58344 and 58357 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58344 and 58357. First we will calculate the prime factors of 58344 and 58357.
Prime Factorization of 58344
Prime factors of 58344 are 2, 3, 11, 13, 17. Prime factorization of 58344 in exponential form is:
58344 = 23 × 31 × 111 × 131 × 171
Prime Factorization of 58357
Prime factors of 58357 are 13, 67. Prime factorization of 58357 in exponential form is:
58357 = 131 × 672
Now multiplying the highest exponent prime factors to calculate the LCM of 58344 and 58357.
LCM(58344,58357) = 23 × 31 × 111 × 131 × 171 × 672
LCM(58344,58357) = 261906216
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