What is the Least Common Multiple of 13052 and 13058?
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 13052 and 13058 is 85216508.
LCM(13052,13058) = 85216508
Least Common Multiple of 13052 and 13058 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13052 and 13058, than apply into the LCM equation.
GCF(13052,13058) = 2
LCM(13052,13058) = ( 13052 × 13058) / 2
LCM(13052,13058) = 170433016 / 2
LCM(13052,13058) = 85216508
Least Common Multiple (LCM) of 13052 and 13058 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13052 and 13058. First we will calculate the prime factors of 13052 and 13058.
Prime Factorization of 13052
Prime factors of 13052 are 2, 13, 251. Prime factorization of 13052 in exponential form is:
13052 = 22 × 131 × 2511
Prime Factorization of 13058
Prime factors of 13058 are 2, 6529. Prime factorization of 13058 in exponential form is:
13058 = 21 × 65291
Now multiplying the highest exponent prime factors to calculate the LCM of 13052 and 13058.
LCM(13052,13058) = 22 × 131 × 2511 × 65291
LCM(13052,13058) = 85216508
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