What is the Least Common Multiple of 19648 and 19654?

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 19648 and 19654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19648 and 19654, than apply into the LCM equation.

GCF(19648,19654) = 2
LCM(19648,19654) = ( 19648 × 19654) / 2
LCM(19648,19654) = 386161792 / 2
LCM(19648,19654) = 193080896

Least Common Multiple (LCM) of 19648 and 19654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19648 and 19654. First we will calculate the prime factors of 19648 and 19654.

Prime Factorization of 19648

Prime Factorization of 19654

Now multiplying the highest exponent prime factors to calculate the LCM of 19648 and 19654.

LCM(19648,19654) = 2⁶ × 307¹ × 31¹ × 317¹
LCM(19648,19654) = 193080896