What is the Least Common Multiple of 20709 and 20720?

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 20709 and 20720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20709 and 20720, than apply into the LCM equation.

GCF(20709,20720) = 1
LCM(20709,20720) = ( 20709 × 20720) / 1
LCM(20709,20720) = 429090480 / 1
LCM(20709,20720) = 429090480

Least Common Multiple (LCM) of 20709 and 20720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20709 and 20720. First we will calculate the prime factors of 20709 and 20720.

Prime Factorization of 20709

Prime Factorization of 20720

Now multiplying the highest exponent prime factors to calculate the LCM of 20709 and 20720.

LCM(20709,20720) = 3³ × 13¹ × 59¹ × 2⁴ × 5¹ × 7¹ × 37¹
LCM(20709,20720) = 429090480