What is the Least Common Multiple of 19824 and 19834?

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 19824 and 19834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19824 and 19834, than apply into the LCM equation.

GCF(19824,19834) = 2
LCM(19824,19834) = ( 19824 × 19834) / 2
LCM(19824,19834) = 393189216 / 2
LCM(19824,19834) = 196594608

Least Common Multiple (LCM) of 19824 and 19834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19824 and 19834. First we will calculate the prime factors of 19824 and 19834.

Prime Factorization of 19824

Prime Factorization of 19834

Now multiplying the highest exponent prime factors to calculate the LCM of 19824 and 19834.

LCM(19824,19834) = 2⁴ × 3¹ × 7¹ × 59¹ × 47¹ × 211¹
LCM(19824,19834) = 196594608