What is the Least Common Multiple of 23702 and 23709?

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 23702 and 23709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23702 and 23709, than apply into the LCM equation.

GCF(23702,23709) = 7
LCM(23702,23709) = ( 23702 × 23709) / 7
LCM(23702,23709) = 561950718 / 7
LCM(23702,23709) = 80278674

Least Common Multiple (LCM) of 23702 and 23709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23702 and 23709. First we will calculate the prime factors of 23702 and 23709.

Prime Factorization of 23702

Prime Factorization of 23709

Now multiplying the highest exponent prime factors to calculate the LCM of 23702 and 23709.

LCM(23702,23709) = 2¹ × 7¹ × 1693¹ × 3¹ × 1129¹
LCM(23702,23709) = 80278674