What is the Least Common Multiple of 95469 and 95473?
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 95473 is 9114711837.
LCM(95469,95473) = 9114711837
Least Common Multiple of 95469 and 95473 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 95473, than apply into the LCM equation.
GCF(95469,95473) = 1
LCM(95469,95473) = ( 95469 × 95473) / 1
LCM(95469,95473) = 9114711837 / 1
LCM(95469,95473) = 9114711837
Least Common Multiple (LCM) of 95469 and 95473 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95469 and 95473. First we will calculate the prime factors of 95469 and 95473.
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 95473
Prime factors of 95473 are 7, 23, 593. Prime factorization of 95473 in exponential form is:
95473 = 71 × 231 × 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 95469 and 95473.
LCM(95469,95473) = 31 × 112 × 2631 × 71 × 231 × 5931
LCM(95469,95473) = 9114711837
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