What is the Least Common Multiple of 33217 and 33226?
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 33217 and 33226 is 1103668042.
LCM(33217,33226) = 1103668042
Least Common Multiple of 33217 and 33226 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33217 and 33226, than apply into the LCM equation.
GCF(33217,33226) = 1
LCM(33217,33226) = ( 33217 × 33226) / 1
LCM(33217,33226) = 1103668042 / 1
LCM(33217,33226) = 1103668042
Least Common Multiple (LCM) of 33217 and 33226 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33217 and 33226. First we will calculate the prime factors of 33217 and 33226.
Prime Factorization of 33217
Prime factors of 33217 are 59, 563. Prime factorization of 33217 in exponential form is:
33217 = 591 × 5631
Prime Factorization of 33226
Prime factors of 33226 are 2, 37, 449. Prime factorization of 33226 in exponential form is:
33226 = 21 × 371 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 33217 and 33226.
LCM(33217,33226) = 591 × 5631 × 21 × 371 × 4491
LCM(33217,33226) = 1103668042
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