What is the Least Common Multiple of 33922 and 33929?
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 33922 and 33929 is 164419934.
LCM(33922,33929) = 164419934
Least Common Multiple of 33922 and 33929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33922 and 33929, than apply into the LCM equation.
GCF(33922,33929) = 7
LCM(33922,33929) = ( 33922 × 33929) / 7
LCM(33922,33929) = 1150939538 / 7
LCM(33922,33929) = 164419934
Least Common Multiple (LCM) of 33922 and 33929 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33922 and 33929. First we will calculate the prime factors of 33922 and 33929.
Prime Factorization of 33922
Prime factors of 33922 are 2, 7, 2423. Prime factorization of 33922 in exponential form is:
33922 = 21 × 71 × 24231
Prime Factorization of 33929
Prime factors of 33929 are 7, 37, 131. Prime factorization of 33929 in exponential form is:
33929 = 71 × 371 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 33922 and 33929.
LCM(33922,33929) = 21 × 71 × 24231 × 371 × 1311
LCM(33922,33929) = 164419934
Related Least Common Multiples of 33922
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Related Least Common Multiples of 33929
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