What is the Least Common Multiple of 38467 and 38478?
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 38467 and 38478 is 134557566.
LCM(38467,38478) = 134557566
Least Common Multiple of 38467 and 38478 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38467 and 38478, than apply into the LCM equation.
GCF(38467,38478) = 11
LCM(38467,38478) = ( 38467 × 38478) / 11
LCM(38467,38478) = 1480133226 / 11
LCM(38467,38478) = 134557566
Least Common Multiple (LCM) of 38467 and 38478 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 38467 and 38478. First we will calculate the prime factors of 38467 and 38478.
Prime Factorization of 38467
Prime factors of 38467 are 11, 13, 269. Prime factorization of 38467 in exponential form is:
38467 = 111 × 131 × 2691
Prime Factorization of 38478
Prime factors of 38478 are 2, 3, 11, 53. Prime factorization of 38478 in exponential form is:
38478 = 21 × 31 × 112 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 38467 and 38478.
LCM(38467,38478) = 112 × 131 × 2691 × 21 × 31 × 531
LCM(38467,38478) = 134557566
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