What is the Least Common Multiple of 20745 and 20761?

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 20745 and 20761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20745 and 20761, than apply into the LCM equation.

GCF(20745,20761) = 1
LCM(20745,20761) = ( 20745 × 20761) / 1
LCM(20745,20761) = 430686945 / 1
LCM(20745,20761) = 430686945

Least Common Multiple (LCM) of 20745 and 20761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20745 and 20761. First we will calculate the prime factors of 20745 and 20761.

Prime Factorization of 20745

Prime Factorization of 20761

Now multiplying the highest exponent prime factors to calculate the LCM of 20745 and 20761.

LCM(20745,20761) = 3² × 5¹ × 461¹ × 13¹ × 1597¹
LCM(20745,20761) = 430686945