What is the Least Common Multiple of 32552 and 32556?

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 32552 and 32556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32552 and 32556, than apply into the LCM equation.

GCF(32552,32556) = 4
LCM(32552,32556) = ( 32552 × 32556) / 4
LCM(32552,32556) = 1059762912 / 4
LCM(32552,32556) = 264940728

Least Common Multiple (LCM) of 32552 and 32556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32552 and 32556. First we will calculate the prime factors of 32552 and 32556.

Prime Factorization of 32552

Prime Factorization of 32556

Now multiplying the highest exponent prime factors to calculate the LCM of 32552 and 32556.

LCM(32552,32556) = 2³ × 13¹ × 313¹ × 3¹ × 2713¹
LCM(32552,32556) = 264940728