What is the Least Common Multiple of 35544 and 35556?

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 35544 and 35556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35544 and 35556, than apply into the LCM equation.

GCF(35544,35556) = 12
LCM(35544,35556) = ( 35544 × 35556) / 12
LCM(35544,35556) = 1263802464 / 12
LCM(35544,35556) = 105316872

Least Common Multiple (LCM) of 35544 and 35556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35544 and 35556. First we will calculate the prime factors of 35544 and 35556.

Prime Factorization of 35544

Prime Factorization of 35556

Now multiplying the highest exponent prime factors to calculate the LCM of 35544 and 35556.

LCM(35544,35556) = 2³ × 3¹ × 1481¹ × 2963¹
LCM(35544,35556) = 105316872