What is the Least Common Multiple of 59033 and 59048?

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 59033 and 59048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59033 and 59048, than apply into the LCM equation.

GCF(59033,59048) = 1
LCM(59033,59048) = ( 59033 × 59048) / 1
LCM(59033,59048) = 3485780584 / 1
LCM(59033,59048) = 3485780584

Least Common Multiple (LCM) of 59033 and 59048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59033 and 59048. First we will calculate the prime factors of 59033 and 59048.

Prime Factorization of 59033

Prime Factorization of 59048

Now multiplying the highest exponent prime factors to calculate the LCM of 59033 and 59048.

LCM(59033,59048) = 13¹ × 19¹ × 239¹ × 2³ × 11² × 61¹
LCM(59033,59048) = 3485780584