What is the Least Common Multiple of 94630 and 94644?
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 94630 and 94644 is 4478080860.
LCM(94630,94644) = 4478080860
Least Common Multiple of 94630 and 94644 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94630 and 94644, than apply into the LCM equation.
GCF(94630,94644) = 2
LCM(94630,94644) = ( 94630 × 94644) / 2
LCM(94630,94644) = 8956161720 / 2
LCM(94630,94644) = 4478080860
Least Common Multiple (LCM) of 94630 and 94644 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94630 and 94644. First we will calculate the prime factors of 94630 and 94644.
Prime Factorization of 94630
Prime factors of 94630 are 2, 5, 9463. Prime factorization of 94630 in exponential form is:
94630 = 21 × 51 × 94631
Prime Factorization of 94644
Prime factors of 94644 are 2, 3, 11, 239. Prime factorization of 94644 in exponential form is:
94644 = 22 × 32 × 111 × 2391
Now multiplying the highest exponent prime factors to calculate the LCM of 94630 and 94644.
LCM(94630,94644) = 22 × 51 × 94631 × 32 × 111 × 2391
LCM(94630,94644) = 4478080860
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