What is the Least Common Multiple of 57233 and 57253?
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 57233 and 57253 is 3276760949.
LCM(57233,57253) = 3276760949
Least Common Multiple of 57233 and 57253 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57233 and 57253, than apply into the LCM equation.
GCF(57233,57253) = 1
LCM(57233,57253) = ( 57233 × 57253) / 1
LCM(57233,57253) = 3276760949 / 1
LCM(57233,57253) = 3276760949
Least Common Multiple (LCM) of 57233 and 57253 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57233 and 57253. First we will calculate the prime factors of 57233 and 57253.
Prime Factorization of 57233
Prime factors of 57233 are 11, 43. Prime factorization of 57233 in exponential form is:
57233 = 113 × 431
Prime Factorization of 57253
Prime factors of 57253 are 7, 8179. Prime factorization of 57253 in exponential form is:
57253 = 71 × 81791
Now multiplying the highest exponent prime factors to calculate the LCM of 57233 and 57253.
LCM(57233,57253) = 113 × 431 × 71 × 81791
LCM(57233,57253) = 3276760949
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