What is the Least Common Multiple of 23690 and 23706?

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 23690 and 23706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23690 and 23706, than apply into the LCM equation.

GCF(23690,23706) = 2
LCM(23690,23706) = ( 23690 × 23706) / 2
LCM(23690,23706) = 561595140 / 2
LCM(23690,23706) = 280797570

Least Common Multiple (LCM) of 23690 and 23706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23690 and 23706. First we will calculate the prime factors of 23690 and 23706.

Prime Factorization of 23690

Prime Factorization of 23706

Now multiplying the highest exponent prime factors to calculate the LCM of 23690 and 23706.

LCM(23690,23706) = 2¹ × 5¹ × 23¹ × 103¹ × 3³ × 439¹
LCM(23690,23706) = 280797570