What is the Least Common Multiple of 59019 and 59035?

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 59019 and 59035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59019 and 59035, than apply into the LCM equation.

GCF(59019,59035) = 1
LCM(59019,59035) = ( 59019 × 59035) / 1
LCM(59019,59035) = 3484186665 / 1
LCM(59019,59035) = 3484186665

Least Common Multiple (LCM) of 59019 and 59035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59019 and 59035. First we will calculate the prime factors of 59019 and 59035.

Prime Factorization of 59019

Prime Factorization of 59035

Now multiplying the highest exponent prime factors to calculate the LCM of 59019 and 59035.

LCM(59019,59035) = 3¹ × 103¹ × 191¹ × 5¹ × 11807¹
LCM(59019,59035) = 3484186665