What is the Least Common Multiple of 95469 and 95482?
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 95469 and 95482 is 9115571058.
LCM(95469,95482) = 9115571058
Least Common Multiple of 95469 and 95482 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95469 and 95482, than apply into the LCM equation.
GCF(95469,95482) = 1
LCM(95469,95482) = ( 95469 × 95482) / 1
LCM(95469,95482) = 9115571058 / 1
LCM(95469,95482) = 9115571058
Least Common Multiple (LCM) of 95469 and 95482 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95469 and 95482. First we will calculate the prime factors of 95469 and 95482.
Prime Factorization of 95469
Prime factors of 95469 are 3, 11, 263. Prime factorization of 95469 in exponential form is:
95469 = 31 × 112 × 2631
Prime Factorization of 95482
Prime factors of 95482 are 2, 47741. Prime factorization of 95482 in exponential form is:
95482 = 21 × 477411
Now multiplying the highest exponent prime factors to calculate the LCM of 95469 and 95482.
LCM(95469,95482) = 31 × 112 × 2631 × 21 × 477411
LCM(95469,95482) = 9115571058
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