What is the Least Common Multiple of 42306 and 42319?

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 42306 and 42319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42306 and 42319, than apply into the LCM equation.

GCF(42306,42319) = 1
LCM(42306,42319) = ( 42306 × 42319) / 1
LCM(42306,42319) = 1790347614 / 1
LCM(42306,42319) = 1790347614

Least Common Multiple (LCM) of 42306 and 42319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42306 and 42319. First we will calculate the prime factors of 42306 and 42319.

Prime Factorization of 42306

Prime Factorization of 42319

Now multiplying the highest exponent prime factors to calculate the LCM of 42306 and 42319.

LCM(42306,42319) = 2¹ × 3¹ × 11¹ × 641¹ × 101¹ × 419¹
LCM(42306,42319) = 1790347614