What is the Least Common Multiple of 20609 and 20620?

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 20609 and 20620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20609 and 20620, than apply into the LCM equation.

GCF(20609,20620) = 1
LCM(20609,20620) = ( 20609 × 20620) / 1
LCM(20609,20620) = 424957580 / 1
LCM(20609,20620) = 424957580

Least Common Multiple (LCM) of 20609 and 20620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20609 and 20620. First we will calculate the prime factors of 20609 and 20620.

Prime Factorization of 20609

Prime Factorization of 20620

Now multiplying the highest exponent prime factors to calculate the LCM of 20609 and 20620.

LCM(20609,20620) = 37¹ × 557¹ × 2² × 5¹ × 1031¹
LCM(20609,20620) = 424957580