What is the Least Common Multiple of 57484 and 57489?
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 57484 and 57489 is 3304697676.
LCM(57484,57489) = 3304697676
Least Common Multiple of 57484 and 57489 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57484 and 57489, than apply into the LCM equation.
GCF(57484,57489) = 1
LCM(57484,57489) = ( 57484 × 57489) / 1
LCM(57484,57489) = 3304697676 / 1
LCM(57484,57489) = 3304697676
Least Common Multiple (LCM) of 57484 and 57489 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57484 and 57489. First we will calculate the prime factors of 57484 and 57489.
Prime Factorization of 57484
Prime factors of 57484 are 2, 7, 2053. Prime factorization of 57484 in exponential form is:
57484 = 22 × 71 × 20531
Prime Factorization of 57489
Prime factors of 57489 are 3, 19163. Prime factorization of 57489 in exponential form is:
57489 = 31 × 191631
Now multiplying the highest exponent prime factors to calculate the LCM of 57484 and 57489.
LCM(57484,57489) = 22 × 71 × 20531 × 31 × 191631
LCM(57484,57489) = 3304697676
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