What is the Least Common Multiple of 20280 and 20300?

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 20280 and 20300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20280 and 20300, than apply into the LCM equation.

GCF(20280,20300) = 20
LCM(20280,20300) = ( 20280 × 20300) / 20
LCM(20280,20300) = 411684000 / 20
LCM(20280,20300) = 20584200

Least Common Multiple (LCM) of 20280 and 20300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20280 and 20300. First we will calculate the prime factors of 20280 and 20300.

Prime Factorization of 20280

Prime Factorization of 20300

Now multiplying the highest exponent prime factors to calculate the LCM of 20280 and 20300.

LCM(20280,20300) = 2³ × 3¹ × 5² × 13² × 7¹ × 29¹
LCM(20280,20300) = 20584200