What is the Least Common Multiple of 59449 and 59462?

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 59449 and 59462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59449 and 59462, than apply into the LCM equation.

GCF(59449,59462) = 13
LCM(59449,59462) = ( 59449 × 59462) / 13
LCM(59449,59462) = 3534956438 / 13
LCM(59449,59462) = 271919726

Least Common Multiple (LCM) of 59449 and 59462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59449 and 59462. First we will calculate the prime factors of 59449 and 59462.

Prime Factorization of 59449

Prime Factorization of 59462

Now multiplying the highest exponent prime factors to calculate the LCM of 59449 and 59462.

LCM(59449,59462) = 13¹ × 17¹ × 269¹ × 2¹ × 2287¹
LCM(59449,59462) = 271919726