What is the Least Common Multiple of 47612 and 47616?
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 47612 and 47616 is 566773248.
LCM(47612,47616) = 566773248
Least Common Multiple of 47612 and 47616 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47612 and 47616, than apply into the LCM equation.
GCF(47612,47616) = 4
LCM(47612,47616) = ( 47612 × 47616) / 4
LCM(47612,47616) = 2267092992 / 4
LCM(47612,47616) = 566773248
Least Common Multiple (LCM) of 47612 and 47616 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47612 and 47616. First we will calculate the prime factors of 47612 and 47616.
Prime Factorization of 47612
Prime factors of 47612 are 2, 11903. Prime factorization of 47612 in exponential form is:
47612 = 22 × 119031
Prime Factorization of 47616
Prime factors of 47616 are 2, 3, 31. Prime factorization of 47616 in exponential form is:
47616 = 29 × 31 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 47612 and 47616.
LCM(47612,47616) = 29 × 119031 × 31 × 311
LCM(47612,47616) = 566773248
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