What is the Least Common Multiple of 20699 and 20705?

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 20699 and 20705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20699 and 20705, than apply into the LCM equation.

GCF(20699,20705) = 1
LCM(20699,20705) = ( 20699 × 20705) / 1
LCM(20699,20705) = 428572795 / 1
LCM(20699,20705) = 428572795

Least Common Multiple (LCM) of 20699 and 20705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20699 and 20705. First we will calculate the prime factors of 20699 and 20705.

Prime Factorization of 20699

Prime Factorization of 20705

Now multiplying the highest exponent prime factors to calculate the LCM of 20699 and 20705.

LCM(20699,20705) = 7¹ × 2957¹ × 5¹ × 41¹ × 101¹
LCM(20699,20705) = 428572795