What is the Least Common Multiple of 55536 and 55554?

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 55554 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 55554, than apply into the LCM equation.

GCF(55536,55554) = 6
LCM(55536,55554) = ( 55536 × 55554) / 6
LCM(55536,55554) = 3085246944 / 6
LCM(55536,55554) = 514207824

Least Common Multiple (LCM) of 55536 and 55554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55536 and 55554. First we will calculate the prime factors of 55536 and 55554.

Prime Factorization of 55536

Prime Factorization of 55554

Now multiplying the highest exponent prime factors to calculate the LCM of 55536 and 55554.

LCM(55536,55554) = 2⁴ × 3¹ × 13¹ × 89¹ × 47¹ × 197¹
LCM(55536,55554) = 514207824