What is the Least Common Multiple of 51752 and 51758?
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 51752 and 51758 is 1339290008.
LCM(51752,51758) = 1339290008
Least Common Multiple of 51752 and 51758 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51752 and 51758, than apply into the LCM equation.
GCF(51752,51758) = 2
LCM(51752,51758) = ( 51752 × 51758) / 2
LCM(51752,51758) = 2678580016 / 2
LCM(51752,51758) = 1339290008
Least Common Multiple (LCM) of 51752 and 51758 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51752 and 51758. First we will calculate the prime factors of 51752 and 51758.
Prime Factorization of 51752
Prime factors of 51752 are 2, 6469. Prime factorization of 51752 in exponential form is:
51752 = 23 × 64691
Prime Factorization of 51758
Prime factors of 51758 are 2, 7, 3697. Prime factorization of 51758 in exponential form is:
51758 = 21 × 71 × 36971
Now multiplying the highest exponent prime factors to calculate the LCM of 51752 and 51758.
LCM(51752,51758) = 23 × 64691 × 71 × 36971
LCM(51752,51758) = 1339290008
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