What is the Least Common Multiple of 33372 and 33379?
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 33372 and 33379 is 1113923988.
LCM(33372,33379) = 1113923988
Least Common Multiple of 33372 and 33379 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33372 and 33379, than apply into the LCM equation.
GCF(33372,33379) = 1
LCM(33372,33379) = ( 33372 × 33379) / 1
LCM(33372,33379) = 1113923988 / 1
LCM(33372,33379) = 1113923988
Least Common Multiple (LCM) of 33372 and 33379 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33372 and 33379. First we will calculate the prime factors of 33372 and 33379.
Prime Factorization of 33372
Prime factors of 33372 are 2, 3, 103. Prime factorization of 33372 in exponential form is:
33372 = 22 × 34 × 1031
Prime Factorization of 33379
Prime factors of 33379 are 29, 1151. Prime factorization of 33379 in exponential form is:
33379 = 291 × 11511
Now multiplying the highest exponent prime factors to calculate the LCM of 33372 and 33379.
LCM(33372,33379) = 22 × 34 × 1031 × 291 × 11511
LCM(33372,33379) = 1113923988
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