What is the Least Common Multiple of 59338 and 59354?

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 59338 and 59354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59338 and 59354, than apply into the LCM equation.

GCF(59338,59354) = 2
LCM(59338,59354) = ( 59338 × 59354) / 2
LCM(59338,59354) = 3521947652 / 2
LCM(59338,59354) = 1760973826

Least Common Multiple (LCM) of 59338 and 59354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59338 and 59354. First we will calculate the prime factors of 59338 and 59354.

Prime Factorization of 59338

Prime Factorization of 59354

Now multiplying the highest exponent prime factors to calculate the LCM of 59338 and 59354.

LCM(59338,59354) = 2¹ × 29669¹ × 59¹ × 503¹
LCM(59338,59354) = 1760973826