What is the Least Common Multiple of 59031 and 59046?

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 59031 and 59046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59031 and 59046, than apply into the LCM equation.

GCF(59031,59046) = 3
LCM(59031,59046) = ( 59031 × 59046) / 3
LCM(59031,59046) = 3485544426 / 3
LCM(59031,59046) = 1161848142

Least Common Multiple (LCM) of 59031 and 59046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59031 and 59046. First we will calculate the prime factors of 59031 and 59046.

Prime Factorization of 59031

Prime Factorization of 59046

Now multiplying the highest exponent prime factors to calculate the LCM of 59031 and 59046.

LCM(59031,59046) = 3² × 7¹ × 937¹ × 2¹ × 13¹ × 757¹
LCM(59031,59046) = 1161848142