What is the Least Common Multiple of 20280 and 20296?

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 20296 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 20296, than apply into the LCM equation.

GCF(20280,20296) = 8
LCM(20280,20296) = ( 20280 × 20296) / 8
LCM(20280,20296) = 411602880 / 8
LCM(20280,20296) = 51450360

Least Common Multiple (LCM) of 20280 and 20296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20280 and 20296. First we will calculate the prime factors of 20280 and 20296.

Prime Factorization of 20280

Prime Factorization of 20296

Now multiplying the highest exponent prime factors to calculate the LCM of 20280 and 20296.

LCM(20280,20296) = 2³ × 3¹ × 5¹ × 13² × 43¹ × 59¹
LCM(20280,20296) = 51450360