What is the Least Common Multiple of 33906 and 33921?
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 33906 and 33921 is 383375142.
LCM(33906,33921) = 383375142
Least Common Multiple of 33906 and 33921 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33906 and 33921, than apply into the LCM equation.
GCF(33906,33921) = 3
LCM(33906,33921) = ( 33906 × 33921) / 3
LCM(33906,33921) = 1150125426 / 3
LCM(33906,33921) = 383375142
Least Common Multiple (LCM) of 33906 and 33921 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33906 and 33921. First we will calculate the prime factors of 33906 and 33921.
Prime Factorization of 33906
Prime factors of 33906 are 2, 3, 5651. Prime factorization of 33906 in exponential form is:
33906 = 21 × 31 × 56511
Prime Factorization of 33921
Prime factors of 33921 are 3, 3769. Prime factorization of 33921 in exponential form is:
33921 = 32 × 37691
Now multiplying the highest exponent prime factors to calculate the LCM of 33906 and 33921.
LCM(33906,33921) = 21 × 32 × 56511 × 37691
LCM(33906,33921) = 383375142
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