What is the Least Common Multiple of 33363 and 33383?
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 33383 is 1113757029.
LCM(33363,33383) = 1113757029
Least Common Multiple of 33363 and 33383 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 33383, than apply into the LCM equation.
GCF(33363,33383) = 1
LCM(33363,33383) = ( 33363 × 33383) / 1
LCM(33363,33383) = 1113757029 / 1
LCM(33363,33383) = 1113757029
Least Common Multiple (LCM) of 33363 and 33383 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33363 and 33383. First we will calculate the prime factors of 33363 and 33383.
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 33383
Prime factors of 33383 are 7, 19, 251. Prime factorization of 33383 in exponential form is:
33383 = 71 × 191 × 2511
Now multiplying the highest exponent prime factors to calculate the LCM of 33363 and 33383.
LCM(33363,33383) = 32 × 111 × 3371 × 71 × 191 × 2511
LCM(33363,33383) = 1113757029
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