What is the Least Common Multiple of 42738 and 42745?

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 42738 and 42745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42738 and 42745, than apply into the LCM equation.

GCF(42738,42745) = 1
LCM(42738,42745) = ( 42738 × 42745) / 1
LCM(42738,42745) = 1826835810 / 1
LCM(42738,42745) = 1826835810

Least Common Multiple (LCM) of 42738 and 42745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42738 and 42745. First we will calculate the prime factors of 42738 and 42745.

Prime Factorization of 42738

Prime Factorization of 42745

Now multiplying the highest exponent prime factors to calculate the LCM of 42738 and 42745.

LCM(42738,42745) = 2¹ × 3¹ × 17¹ × 419¹ × 5¹ × 83¹ × 103¹
LCM(42738,42745) = 1826835810