What is the Least Common Multiple of 31784 and 31788?
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 31784 and 31788 is 252587448.
LCM(31784,31788) = 252587448
Least Common Multiple of 31784 and 31788 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31784 and 31788, than apply into the LCM equation.
GCF(31784,31788) = 4
LCM(31784,31788) = ( 31784 × 31788) / 4
LCM(31784,31788) = 1010349792 / 4
LCM(31784,31788) = 252587448
Least Common Multiple (LCM) of 31784 and 31788 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 31784 and 31788. First we will calculate the prime factors of 31784 and 31788.
Prime Factorization of 31784
Prime factors of 31784 are 2, 29, 137. Prime factorization of 31784 in exponential form is:
31784 = 23 × 291 × 1371
Prime Factorization of 31788
Prime factors of 31788 are 2, 3, 883. Prime factorization of 31788 in exponential form is:
31788 = 22 × 32 × 8831
Now multiplying the highest exponent prime factors to calculate the LCM of 31784 and 31788.
LCM(31784,31788) = 23 × 291 × 1371 × 32 × 8831
LCM(31784,31788) = 252587448
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