What is the Least Common Multiple of 56312 and 56316?
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 56312 and 56316 is 792816648.
LCM(56312,56316) = 792816648
Least Common Multiple of 56312 and 56316 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56312 and 56316, than apply into the LCM equation.
GCF(56312,56316) = 4
LCM(56312,56316) = ( 56312 × 56316) / 4
LCM(56312,56316) = 3171266592 / 4
LCM(56312,56316) = 792816648
Least Common Multiple (LCM) of 56312 and 56316 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56312 and 56316. First we will calculate the prime factors of 56312 and 56316.
Prime Factorization of 56312
Prime factors of 56312 are 2, 7039. Prime factorization of 56312 in exponential form is:
56312 = 23 × 70391
Prime Factorization of 56316
Prime factors of 56316 are 2, 3, 13, 19. Prime factorization of 56316 in exponential form is:
56316 = 22 × 31 × 131 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 56312 and 56316.
LCM(56312,56316) = 23 × 70391 × 31 × 131 × 192
LCM(56312,56316) = 792816648
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