What is the Least Common Multiple of 47630 and 47643?
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 47630 and 47643 is 2269236090.
LCM(47630,47643) = 2269236090
Least Common Multiple of 47630 and 47643 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47630 and 47643, than apply into the LCM equation.
GCF(47630,47643) = 1
LCM(47630,47643) = ( 47630 × 47643) / 1
LCM(47630,47643) = 2269236090 / 1
LCM(47630,47643) = 2269236090
Least Common Multiple (LCM) of 47630 and 47643 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 47630 and 47643. First we will calculate the prime factors of 47630 and 47643.
Prime Factorization of 47630
Prime factors of 47630 are 2, 5, 11, 433. Prime factorization of 47630 in exponential form is:
47630 = 21 × 51 × 111 × 4331
Prime Factorization of 47643
Prime factors of 47643 are 3, 15881. Prime factorization of 47643 in exponential form is:
47643 = 31 × 158811
Now multiplying the highest exponent prime factors to calculate the LCM of 47630 and 47643.
LCM(47630,47643) = 21 × 51 × 111 × 4331 × 31 × 158811
LCM(47630,47643) = 2269236090
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