What is the Least Common Multiple of 59378 and 59383?

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 59378 and 59383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59378 and 59383, than apply into the LCM equation.

GCF(59378,59383) = 1
LCM(59378,59383) = ( 59378 × 59383) / 1
LCM(59378,59383) = 3526043774 / 1
LCM(59378,59383) = 3526043774

Least Common Multiple (LCM) of 59378 and 59383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59378 and 59383. First we will calculate the prime factors of 59378 and 59383.

Prime Factorization of 59378

Prime Factorization of 59383

Now multiplying the highest exponent prime factors to calculate the LCM of 59378 and 59383.

LCM(59378,59383) = 2¹ × 11¹ × 2699¹ × 43¹ × 1381¹
LCM(59378,59383) = 3526043774