What is the Least Common Multiple of 33327 and 33346?
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 33327 and 33346 is 1111322142.
LCM(33327,33346) = 1111322142
Least Common Multiple of 33327 and 33346 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33327 and 33346, than apply into the LCM equation.
GCF(33327,33346) = 1
LCM(33327,33346) = ( 33327 × 33346) / 1
LCM(33327,33346) = 1111322142 / 1
LCM(33327,33346) = 1111322142
Least Common Multiple (LCM) of 33327 and 33346 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33327 and 33346. First we will calculate the prime factors of 33327 and 33346.
Prime Factorization of 33327
Prime factors of 33327 are 3, 7, 23. Prime factorization of 33327 in exponential form is:
33327 = 32 × 71 × 232
Prime Factorization of 33346
Prime factors of 33346 are 2, 16673. Prime factorization of 33346 in exponential form is:
33346 = 21 × 166731
Now multiplying the highest exponent prime factors to calculate the LCM of 33327 and 33346.
LCM(33327,33346) = 32 × 71 × 232 × 21 × 166731
LCM(33327,33346) = 1111322142
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