What is the Least Common Multiple of 57276 and 57296?
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 57276 and 57296 is 820421424.
LCM(57276,57296) = 820421424
Least Common Multiple of 57276 and 57296 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57276 and 57296, than apply into the LCM equation.
GCF(57276,57296) = 4
LCM(57276,57296) = ( 57276 × 57296) / 4
LCM(57276,57296) = 3281685696 / 4
LCM(57276,57296) = 820421424
Least Common Multiple (LCM) of 57276 and 57296 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57276 and 57296. First we will calculate the prime factors of 57276 and 57296.
Prime Factorization of 57276
Prime factors of 57276 are 2, 3, 37, 43. Prime factorization of 57276 in exponential form is:
57276 = 22 × 32 × 371 × 431
Prime Factorization of 57296
Prime factors of 57296 are 2, 3581. Prime factorization of 57296 in exponential form is:
57296 = 24 × 35811
Now multiplying the highest exponent prime factors to calculate the LCM of 57276 and 57296.
LCM(57276,57296) = 24 × 32 × 371 × 431 × 35811
LCM(57276,57296) = 820421424
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