What is the Least Common Multiple of 51933 and 51952?
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 51933 and 51952 is 2698023216.
LCM(51933,51952) = 2698023216
Least Common Multiple of 51933 and 51952 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51933 and 51952, than apply into the LCM equation.
GCF(51933,51952) = 1
LCM(51933,51952) = ( 51933 × 51952) / 1
LCM(51933,51952) = 2698023216 / 1
LCM(51933,51952) = 2698023216
Least Common Multiple (LCM) of 51933 and 51952 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51933 and 51952. First we will calculate the prime factors of 51933 and 51952.
Prime Factorization of 51933
Prime factors of 51933 are 3, 7, 2473. Prime factorization of 51933 in exponential form is:
51933 = 31 × 71 × 24731
Prime Factorization of 51952
Prime factors of 51952 are 2, 17, 191. Prime factorization of 51952 in exponential form is:
51952 = 24 × 171 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 51933 and 51952.
LCM(51933,51952) = 31 × 71 × 24731 × 24 × 171 × 1911
LCM(51933,51952) = 2698023216
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