What is the Least Common Multiple of 69263 and 69267?
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 69263 and 69267 is 4797640221.
LCM(69263,69267) = 4797640221
Least Common Multiple of 69263 and 69267 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69263 and 69267, than apply into the LCM equation.
GCF(69263,69267) = 1
LCM(69263,69267) = ( 69263 × 69267) / 1
LCM(69263,69267) = 4797640221 / 1
LCM(69263,69267) = 4797640221
Least Common Multiple (LCM) of 69263 and 69267 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69263 and 69267. First we will calculate the prime factors of 69263 and 69267.
Prime Factorization of 69263
Prime factors of 69263 are 69263. Prime factorization of 69263 in exponential form is:
69263 = 692631
Prime Factorization of 69267
Prime factors of 69267 are 3, 11, 2099. Prime factorization of 69267 in exponential form is:
69267 = 31 × 111 × 20991
Now multiplying the highest exponent prime factors to calculate the LCM of 69263 and 69267.
LCM(69263,69267) = 692631 × 31 × 111 × 20991
LCM(69263,69267) = 4797640221
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