What is the Least Common Multiple of 23698 and 23708?

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 23698 and 23708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23698 and 23708, than apply into the LCM equation.

GCF(23698,23708) = 2
LCM(23698,23708) = ( 23698 × 23708) / 2
LCM(23698,23708) = 561832184 / 2
LCM(23698,23708) = 280916092

Least Common Multiple (LCM) of 23698 and 23708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23698 and 23708. First we will calculate the prime factors of 23698 and 23708.

Prime Factorization of 23698

Prime Factorization of 23708

Now multiplying the highest exponent prime factors to calculate the LCM of 23698 and 23708.

LCM(23698,23708) = 2² × 17² × 41¹ × 5927¹
LCM(23698,23708) = 280916092