What is the Least Common Multiple of 33912 and 33925?
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 33912 and 33925 is 1150464600.
LCM(33912,33925) = 1150464600
Least Common Multiple of 33912 and 33925 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33912 and 33925, than apply into the LCM equation.
GCF(33912,33925) = 1
LCM(33912,33925) = ( 33912 × 33925) / 1
LCM(33912,33925) = 1150464600 / 1
LCM(33912,33925) = 1150464600
Least Common Multiple (LCM) of 33912 and 33925 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33912 and 33925. First we will calculate the prime factors of 33912 and 33925.
Prime Factorization of 33912
Prime factors of 33912 are 2, 3, 157. Prime factorization of 33912 in exponential form is:
33912 = 23 × 33 × 1571
Prime Factorization of 33925
Prime factors of 33925 are 5, 23, 59. Prime factorization of 33925 in exponential form is:
33925 = 52 × 231 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 33912 and 33925.
LCM(33912,33925) = 23 × 33 × 1571 × 52 × 231 × 591
LCM(33912,33925) = 1150464600
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