What is the Least Common Multiple of 55536 and 55556?

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 55536 and 55556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55536 and 55556, than apply into the LCM equation.

GCF(55536,55556) = 4
LCM(55536,55556) = ( 55536 × 55556) / 4
LCM(55536,55556) = 3085358016 / 4
LCM(55536,55556) = 771339504

Least Common Multiple (LCM) of 55536 and 55556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55536 and 55556. First we will calculate the prime factors of 55536 and 55556.

Prime Factorization of 55536

Prime Factorization of 55556

Now multiplying the highest exponent prime factors to calculate the LCM of 55536 and 55556.

LCM(55536,55556) = 2⁴ × 3¹ × 13¹ × 89¹ × 17¹ × 19¹ × 43¹
LCM(55536,55556) = 771339504