What is the Least Common Multiple of 19552 and 19556?

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 19552 and 19556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19552 and 19556, than apply into the LCM equation.

GCF(19552,19556) = 4
LCM(19552,19556) = ( 19552 × 19556) / 4
LCM(19552,19556) = 382358912 / 4
LCM(19552,19556) = 95589728

Least Common Multiple (LCM) of 19552 and 19556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19552 and 19556. First we will calculate the prime factors of 19552 and 19556.

Prime Factorization of 19552

Prime Factorization of 19556

Now multiplying the highest exponent prime factors to calculate the LCM of 19552 and 19556.

LCM(19552,19556) = 2⁵ × 13¹ × 47¹ × 4889¹
LCM(19552,19556) = 95589728