What is the Least Common Multiple of 58721 and 58741?
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 58721 and 58741 is 3449330261.
LCM(58721,58741) = 3449330261
Least Common Multiple of 58721 and 58741 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58721 and 58741, than apply into the LCM equation.
GCF(58721,58741) = 1
LCM(58721,58741) = ( 58721 × 58741) / 1
LCM(58721,58741) = 3449330261 / 1
LCM(58721,58741) = 3449330261
Least Common Multiple (LCM) of 58721 and 58741 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 58721 and 58741. First we will calculate the prime factors of 58721 and 58741.
Prime Factorization of 58721
Prime factors of 58721 are 13, 4517. Prime factorization of 58721 in exponential form is:
58721 = 131 × 45171
Prime Factorization of 58741
Prime factors of 58741 are 58741. Prime factorization of 58741 in exponential form is:
58741 = 587411
Now multiplying the highest exponent prime factors to calculate the LCM of 58721 and 58741.
LCM(58721,58741) = 131 × 45171 × 587411
LCM(58721,58741) = 3449330261
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