What is the Least Common Multiple of 33332 and 33352?
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 33332 and 33352 is 277922216.
LCM(33332,33352) = 277922216
Least Common Multiple of 33332 and 33352 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33332 and 33352, than apply into the LCM equation.
GCF(33332,33352) = 4
LCM(33332,33352) = ( 33332 × 33352) / 4
LCM(33332,33352) = 1111688864 / 4
LCM(33332,33352) = 277922216
Least Common Multiple (LCM) of 33332 and 33352 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33332 and 33352. First we will calculate the prime factors of 33332 and 33352.
Prime Factorization of 33332
Prime factors of 33332 are 2, 13, 641. Prime factorization of 33332 in exponential form is:
33332 = 22 × 131 × 6411
Prime Factorization of 33352
Prime factors of 33352 are 2, 11, 379. Prime factorization of 33352 in exponential form is:
33352 = 23 × 111 × 3791
Now multiplying the highest exponent prime factors to calculate the LCM of 33332 and 33352.
LCM(33332,33352) = 23 × 131 × 6411 × 111 × 3791
LCM(33332,33352) = 277922216
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