What is the Least Common Multiple of 20770 and 20790?

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 20770 and 20790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20770 and 20790, than apply into the LCM equation.

GCF(20770,20790) = 10
LCM(20770,20790) = ( 20770 × 20790) / 10
LCM(20770,20790) = 431808300 / 10
LCM(20770,20790) = 43180830

Least Common Multiple (LCM) of 20770 and 20790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20770 and 20790. First we will calculate the prime factors of 20770 and 20790.

Prime Factorization of 20770

Prime Factorization of 20790

Now multiplying the highest exponent prime factors to calculate the LCM of 20770 and 20790.

LCM(20770,20790) = 2¹ × 5¹ × 31¹ × 67¹ × 3³ × 7¹ × 11¹
LCM(20770,20790) = 43180830