What is the Least Common Multiple of 59014 and 59034?

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 59014 and 59034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59014 and 59034, than apply into the LCM equation.

GCF(59014,59034) = 2
LCM(59014,59034) = ( 59014 × 59034) / 2
LCM(59014,59034) = 3483832476 / 2
LCM(59014,59034) = 1741916238

Least Common Multiple (LCM) of 59014 and 59034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59014 and 59034. First we will calculate the prime factors of 59014 and 59034.

Prime Factorization of 59014

Prime Factorization of 59034

Now multiplying the highest exponent prime factors to calculate the LCM of 59014 and 59034.

LCM(59014,59034) = 2¹ × 19¹ × 1553¹ × 3¹ × 9839¹
LCM(59014,59034) = 1741916238