What is the Least Common Multiple of 33244 and 33262?
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 33244 and 33262 is 552880964.
LCM(33244,33262) = 552880964
Least Common Multiple of 33244 and 33262 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33244 and 33262, than apply into the LCM equation.
GCF(33244,33262) = 2
LCM(33244,33262) = ( 33244 × 33262) / 2
LCM(33244,33262) = 1105761928 / 2
LCM(33244,33262) = 552880964
Least Common Multiple (LCM) of 33244 and 33262 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33244 and 33262. First we will calculate the prime factors of 33244 and 33262.
Prime Factorization of 33244
Prime factors of 33244 are 2, 8311. Prime factorization of 33244 in exponential form is:
33244 = 22 × 83111
Prime Factorization of 33262
Prime factors of 33262 are 2, 16631. Prime factorization of 33262 in exponential form is:
33262 = 21 × 166311
Now multiplying the highest exponent prime factors to calculate the LCM of 33244 and 33262.
LCM(33244,33262) = 22 × 83111 × 166311
LCM(33244,33262) = 552880964
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