What is the Least Common Multiple of 69471 and 69475?
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 69471 and 69475 is 4826497725.
LCM(69471,69475) = 4826497725
Least Common Multiple of 69471 and 69475 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69471 and 69475, than apply into the LCM equation.
GCF(69471,69475) = 1
LCM(69471,69475) = ( 69471 × 69475) / 1
LCM(69471,69475) = 4826497725 / 1
LCM(69471,69475) = 4826497725
Least Common Multiple (LCM) of 69471 and 69475 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69471 and 69475. First we will calculate the prime factors of 69471 and 69475.
Prime Factorization of 69471
Prime factors of 69471 are 3, 31, 83. Prime factorization of 69471 in exponential form is:
69471 = 33 × 311 × 831
Prime Factorization of 69475
Prime factors of 69475 are 5, 7, 397. Prime factorization of 69475 in exponential form is:
69475 = 52 × 71 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 69471 and 69475.
LCM(69471,69475) = 33 × 311 × 831 × 52 × 71 × 3971
LCM(69471,69475) = 4826497725
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Related Least Common Multiples of 69475
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