What is the Least Common Multiple of 95513 and 95518?
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 95513 and 95518 is 9123210734.
LCM(95513,95518) = 9123210734
Least Common Multiple of 95513 and 95518 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95513 and 95518, than apply into the LCM equation.
GCF(95513,95518) = 1
LCM(95513,95518) = ( 95513 × 95518) / 1
LCM(95513,95518) = 9123210734 / 1
LCM(95513,95518) = 9123210734
Least Common Multiple (LCM) of 95513 and 95518 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95513 and 95518. First we will calculate the prime factors of 95513 and 95518.
Prime Factorization of 95513
Prime factors of 95513 are 11, 19, 457. Prime factorization of 95513 in exponential form is:
95513 = 111 × 191 × 4571
Prime Factorization of 95518
Prime factors of 95518 are 2, 163, 293. Prime factorization of 95518 in exponential form is:
95518 = 21 × 1631 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 95513 and 95518.
LCM(95513,95518) = 111 × 191 × 4571 × 21 × 1631 × 2931
LCM(95513,95518) = 9123210734
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