What is the Least Common Multiple of 20282 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 20282 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 20282 and 20296, than apply into the LCM equation.

GCF(20282,20296) = 2
LCM(20282,20296) = ( 20282 × 20296) / 2
LCM(20282,20296) = 411643472 / 2
LCM(20282,20296) = 205821736

Least Common Multiple (LCM) of 20282 and 20296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20282 and 20296. First we will calculate the prime factors of 20282 and 20296.

Prime Factorization of 20282

Prime Factorization of 20296

Now multiplying the highest exponent prime factors to calculate the LCM of 20282 and 20296.

LCM(20282,20296) = 2³ × 10141¹ × 43¹ × 59¹
LCM(20282,20296) = 205821736