What is the Least Common Multiple of 42039 and 42059?

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 42039 and 42059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42039 and 42059, than apply into the LCM equation.

GCF(42039,42059) = 1
LCM(42039,42059) = ( 42039 × 42059) / 1
LCM(42039,42059) = 1768118301 / 1
LCM(42039,42059) = 1768118301

Least Common Multiple (LCM) of 42039 and 42059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42039 and 42059. First we will calculate the prime factors of 42039 and 42059.

Prime Factorization of 42039

Prime Factorization of 42059

Now multiplying the highest exponent prime factors to calculate the LCM of 42039 and 42059.

LCM(42039,42059) = 3⁵ × 173¹ × 137¹ × 307¹
LCM(42039,42059) = 1768118301