What is the Least Common Multiple of 33924 and 33930?
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 33924 and 33930 is 191840220.
LCM(33924,33930) = 191840220
Least Common Multiple of 33924 and 33930 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33924 and 33930, than apply into the LCM equation.
GCF(33924,33930) = 6
LCM(33924,33930) = ( 33924 × 33930) / 6
LCM(33924,33930) = 1151041320 / 6
LCM(33924,33930) = 191840220
Least Common Multiple (LCM) of 33924 and 33930 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33924 and 33930. First we will calculate the prime factors of 33924 and 33930.
Prime Factorization of 33924
Prime factors of 33924 are 2, 3, 11, 257. Prime factorization of 33924 in exponential form is:
33924 = 22 × 31 × 111 × 2571
Prime Factorization of 33930
Prime factors of 33930 are 2, 3, 5, 13, 29. Prime factorization of 33930 in exponential form is:
33930 = 21 × 32 × 51 × 131 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 33924 and 33930.
LCM(33924,33930) = 22 × 32 × 111 × 2571 × 51 × 131 × 291
LCM(33924,33930) = 191840220
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