What is the Least Common Multiple of 59354 and 59368?

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 59354 and 59368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59354 and 59368, than apply into the LCM equation.

GCF(59354,59368) = 2
LCM(59354,59368) = ( 59354 × 59368) / 2
LCM(59354,59368) = 3523728272 / 2
LCM(59354,59368) = 1761864136

Least Common Multiple (LCM) of 59354 and 59368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59354 and 59368. First we will calculate the prime factors of 59354 and 59368.

Prime Factorization of 59354

Prime Factorization of 59368

Now multiplying the highest exponent prime factors to calculate the LCM of 59354 and 59368.

LCM(59354,59368) = 2³ × 59¹ × 503¹ × 41¹ × 181¹
LCM(59354,59368) = 1761864136