What is the Least Common Multiple of 20372 and 20384?

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 20372 and 20384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20372 and 20384, than apply into the LCM equation.

GCF(20372,20384) = 4
LCM(20372,20384) = ( 20372 × 20384) / 4
LCM(20372,20384) = 415262848 / 4
LCM(20372,20384) = 103815712

Least Common Multiple (LCM) of 20372 and 20384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20372 and 20384. First we will calculate the prime factors of 20372 and 20384.

Prime Factorization of 20372

Prime Factorization of 20384

Now multiplying the highest exponent prime factors to calculate the LCM of 20372 and 20384.

LCM(20372,20384) = 2⁵ × 11¹ × 463¹ × 7² × 13¹
LCM(20372,20384) = 103815712