What is the Least Common Multiple of 38345 and 38354?

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 of 38345 and 38354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38345 and 38354, than apply into the LCM equation.

GCF(38345,38354) = 1
LCM(38345,38354) = ( 38345 × 38354) / 1
LCM(38345,38354) = 1470684130 / 1
LCM(38345,38354) = 1470684130

Least Common Multiple (LCM) of 38345 and 38354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38345 and 38354. First we will calculate the prime factors of 38345 and 38354.

Prime Factorization of 38345

Prime Factorization of 38354

Now multiplying the highest exponent prime factors to calculate the LCM of 38345 and 38354.

LCM(38345,38354) = 5¹ × 7669¹ × 2¹ × 127¹ × 151¹
LCM(38345,38354) = 1470684130