What is the Least Common Multiple of 69236 and 69255?
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 69236 and 69255 is 252365220.
LCM(69236,69255) = 252365220
Least Common Multiple of 69236 and 69255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69236 and 69255, than apply into the LCM equation.
GCF(69236,69255) = 19
LCM(69236,69255) = ( 69236 × 69255) / 19
LCM(69236,69255) = 4794939180 / 19
LCM(69236,69255) = 252365220
Least Common Multiple (LCM) of 69236 and 69255 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69236 and 69255. First we will calculate the prime factors of 69236 and 69255.
Prime Factorization of 69236
Prime factors of 69236 are 2, 19, 911. Prime factorization of 69236 in exponential form is:
69236 = 22 × 191 × 9111
Prime Factorization of 69255
Prime factors of 69255 are 3, 5, 19. Prime factorization of 69255 in exponential form is:
69255 = 36 × 51 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 69236 and 69255.
LCM(69236,69255) = 22 × 191 × 9111 × 36 × 51
LCM(69236,69255) = 252365220
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