What is the Least Common Multiple of 33828 and 33847?
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 33828 and 33847 is 1144976316.
LCM(33828,33847) = 1144976316
Least Common Multiple of 33828 and 33847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33828 and 33847, than apply into the LCM equation.
GCF(33828,33847) = 1
LCM(33828,33847) = ( 33828 × 33847) / 1
LCM(33828,33847) = 1144976316 / 1
LCM(33828,33847) = 1144976316
Least Common Multiple (LCM) of 33828 and 33847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33828 and 33847. First we will calculate the prime factors of 33828 and 33847.
Prime Factorization of 33828
Prime factors of 33828 are 2, 3, 2819. Prime factorization of 33828 in exponential form is:
33828 = 22 × 31 × 28191
Prime Factorization of 33847
Prime factors of 33847 are 11, 17, 181. Prime factorization of 33847 in exponential form is:
33847 = 111 × 171 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 33828 and 33847.
LCM(33828,33847) = 22 × 31 × 28191 × 111 × 171 × 1811
LCM(33828,33847) = 1144976316
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