What is the Least Common Multiple of 20910 and 20920?

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 20910 and 20920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20910 and 20920, than apply into the LCM equation.

GCF(20910,20920) = 10
LCM(20910,20920) = ( 20910 × 20920) / 10
LCM(20910,20920) = 437437200 / 10
LCM(20910,20920) = 43743720

Least Common Multiple (LCM) of 20910 and 20920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20910 and 20920. First we will calculate the prime factors of 20910 and 20920.

Prime Factorization of 20910

Prime Factorization of 20920

Now multiplying the highest exponent prime factors to calculate the LCM of 20910 and 20920.

LCM(20910,20920) = 2³ × 3¹ × 5¹ × 17¹ × 41¹ × 523¹
LCM(20910,20920) = 43743720