What is the Least Common Multiple of 33363 and 33377?
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 33363 and 33377 is 1113556851.
LCM(33363,33377) = 1113556851
Least Common Multiple of 33363 and 33377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33363 and 33377, than apply into the LCM equation.
GCF(33363,33377) = 1
LCM(33363,33377) = ( 33363 × 33377) / 1
LCM(33363,33377) = 1113556851 / 1
LCM(33363,33377) = 1113556851
Least Common Multiple (LCM) of 33363 and 33377 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33363 and 33377. First we will calculate the prime factors of 33363 and 33377.
Prime Factorization of 33363
Prime factors of 33363 are 3, 11, 337. Prime factorization of 33363 in exponential form is:
33363 = 32 × 111 × 3371
Prime Factorization of 33377
Prime factors of 33377 are 33377. Prime factorization of 33377 in exponential form is:
33377 = 333771
Now multiplying the highest exponent prime factors to calculate the LCM of 33363 and 33377.
LCM(33363,33377) = 32 × 111 × 3371 × 333771
LCM(33363,33377) = 1113556851
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